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Riemann Surfaces: Random, Flat, and Hyperbolic Geometry
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2025
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Gaëtan Borot
Samuel Grushevsky
Martin Möller
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Tree-level superstring amplitudes: the Neveu-Schwarz sector
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2024
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Sergio L. Cacciatori
Samuel Grushevsky
Alexander A. Voronov
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PDF
Chat
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Compact Subvarieties of the Moduli Space of Complex Abelian Varieties
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2024
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Samuel Grushevsky
Grabriele Mondello
Riccardo Salvati Manni
Jacob Tsimerman
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PDF
Chat
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Tree-Level Superstring Amplitudes: The Neveu-Schwarz Sector
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2024
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Sergio L. Cacciatori
Samuel Grushevsky
Alexander A. Voronov
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PDF
Chat
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NON-ISOMORPHIC SMOOTH COMPACTIFICATIONS OF THE MODULI SPACE OF CUBIC SURFACES
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2023
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Sebastian Casalaina‐Martin
Samuel Grushevsky
Klaus Hulek
Radu Laza
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Differentiating Siegel Modular Forms and the Moving Slope of 𝒜<i>g</i>
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2023
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Samuel Grushevsky
Tomoyoshi Ibukiyama
Gabriele Mondello
Riccardo Salvati Manni
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Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models
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2023
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Sebastian Casalaina‐Martin
Samuel Grushevsky
Klaus Hulek
Radu Laza
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Moduli of abelian varieties near the locus of products of elliptic curves
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2023
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Samuel Grushevsky
Riccardo Salvati Manni
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The birational geometry of moduli of cubic surfaces and cubic surfaces with a line
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2023
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Sebastian Casalaina‐Martin
Samuel Grushevsky
Klaus Hulek
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PDF
Chat
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Equations of linear subvarieties of strata of differentials
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2022
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Frederik Benirschke
Benjamin Dozier
Samuel Grushevsky
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Non-isomorphic smooth compactifications of the moduli space of cubic surfaces
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2022
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Sebastian Casalaina‐Martin
Samuel Grushevsky
Klaus Hulek
Radu Laza
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Differentiating Siegel modular forms, and the moving slope of ${\mathcal A}_g$
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2022
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Samuel Grushevsky
Tomoyoshi Ibukiyama
Gabriele Mondello
Riccardo Salvati Manni
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A tale of two moduli spaces: logarithmic and multi-scale differentials
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2022
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Dawei Chen
Samuel Grushevsky
David Holmes
Martin Möller
Johannes Schmitt
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PDF
Chat
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On the Cone of Effective Surfaces on A 3
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2022
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Samuel Grushevsky
Klaus Hulek
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Igor’ Moiseevich Krichever
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2021
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Victor Matveevich Buchstaber
Alexander Varchenko
А. П. Веселов
P. G. Grinevich
Samuel Grushevsky
S. Yu. Dobrokhotov
A. Zabrodin
A. Marshakov
Андрей Евгеньевич Миронов
Nikita Nekrasov
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An explicit solution to the weak Schottky problem
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2021
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Hershel M. Farkas
Samuel Grushevsky
Riccardo Salvati Manni
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PDF
Chat
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Complete moduli of cubic threefolds and their intermediate Jacobians
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2020
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Sebastian Casalaina‐Martin
Samuel Grushevsky
Klaus Hulek
Radu Laza
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On the cone of effective surfaces on $\overline{\mathcal A}_3$
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2020
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Samuel Grushevsky
Klaus Hulek
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Equations of linear subvarieties of strata of differentials
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2020
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Frederik Benirschke
Benjamin Dozier
Samuel Grushevsky
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On the cone of effective surfaces on $\overline{\mathcal A}_3$
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2020
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Samuel Grushevsky
Klaus Hulek
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The moduli space of multi-scale differentials
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2019
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Matt Bainbridge
Dawei Chen
Quentin Gendron
Samuel Grushevsky
Martin Möller
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PDF
Chat
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Real-normalized differentials: limits on stable curves
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2019
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Samuel Grushevsky
I. M. Krichever
Chaya Norton
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PDF
Chat
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Вещественно-нормированные дифференциалы: пределы на стабильных кривых
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2019
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Samuel Grushevsky
I. M. Krichever
Chaya Norton
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The moduli space of multi-scale differentials
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2019
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Matt Bainbridge
Dawei Chen
Quentin Gendron
Samuel Grushevsky
Martin Möller
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Cohomology of the moduli space of cubic threefolds and its smooth models
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2019
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Sebastian Casalaina‐Martin
Samuel Grushevsky
Klaus Hulek
Radu Laza
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PDF
Chat
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Stable Betti Numbers of (Partial) Toroidal Compactifications of the Moduli Space of Abelian Varieties
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2018
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Samuel Grushevsky
Klaus Hulek
Orsola Tommasi
Mathieu Dutour Sikirić
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PDF
Chat
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Compactification of strata of Abelian differentials
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2018
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Matt Bainbridge
Dawei Chen
Quentin Gendron
Samuel Grushevsky
Martin Möller
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PDF
Chat
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Explicit formulas for infinitely many Shimura curves in genus $4$
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2018
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Samuel Grushevsky
Martin Möller
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An explicit solution to the weak Schottky problem
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2017
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Hershel M. Farkas
Samuel Grushevsky
Riccardo Salvati Manni
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PDF
Chat
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The degree of the Gauss map of the theta divisor
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2017
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Giulio Codogni
Samuel Grushevsky
Edoardo Sernesi
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PDF
Chat
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Powers of the Theta Divisor and Relations in the Tautological Ring
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2017
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Emily Clader
Samuel Grushevsky
Felix Janda
Dmitry Zakharov
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Real-normalized differentials: limits on stable curves
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2017
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Samuel Grushevsky
I. M. Krichever
Chaya Norton
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+
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Stable Betti numbers of (partial) toroidal compactifications of the moduli space of abelian varieties
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2017
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Samuel Grushevsky
Klaus Hulek
Orsola Tommasi
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PDF
Chat
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Extending the Prym map to toroidal compactifications of the moduli space of abelian varieties (with an appendix by Mathieu Dutour Sikirić)
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2017
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Sebastian Casalaina‐Martin
Samuel Grushevsky
Klaus Hulek
Radu Laza
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PDF
Chat
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Vector-Valued Modular Forms and the Gauss Map
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2017
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Francesco Dalla Piazza
Alessio Fiorentino
Samuel Grushevsky
Sara Perna
Riccardo Salvati Manni
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Stable Betti numbers of (partial) toroidal compactifications of the moduli space of abelian varieties
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2017
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Samuel Grushevsky
Klaus Hulek
Orsola Tommasi
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+
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Real-normalized differentials: limits on stable curves
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2017
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Samuel Grushevsky
I. M. Krichever
Chaya Norton
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+
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An explicit solution to the weak Schottky problem
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2017
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Hershel M. Farkas
Samuel Grushevsky
Riccardo Salvati Manni
|
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PDF
Chat
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The intersection cohomology of the Satake compactification of $${\mathcal {A}}_g$$ for $$g \le 4$$
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2016
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Samuel Grushevsky
Klaus Hulek
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Powers of the theta divisor and relations in the tautological ring
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2016
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Emily Clader
Samuel Grushevsky
Felix Janda
Dmitry Zakharov
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The decomposition theorem and the Intersection cohomology of the Satake-Baily-Borel compactification of ${\mathcal A}_g$ for small genus
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2016
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Samuel Grushevsky
Klaus Hulek
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The intersection cohomology of the Satake compactification of ${\mathcal A}_g$ for $g\le 4$
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2016
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Samuel Grushevsky
Klaus Hulek
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Strata of $k$-differentials
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2016
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Matt Bainbridge
Dawei Chen
Quentin Gendron
Samuel Grushevsky
Martin Moeller
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The intersection cohomology of the Satake compactification of ${\mathcal A}_g$ for $g\le 4$
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2016
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Samuel Grushevsky
Klaus Hulek
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+
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Powers of the theta divisor and relations in the tautological ring
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2016
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Emily Clader
Samuel Grushevsky
Felix Janda
Dmitry Zakharov
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PDF
Chat
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Stable cohomology of the perfect cone toroidal compactification of 𝒜<sub> <i>g</i> </sub>
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2015
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Samuel Grushevsky
Klaus Hulek
Orsola Tommasi
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Explicit formulas for infinitely many Shimura curves in genus 4
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2015
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Samuel Grushevsky
Martin Moeller
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Shimura Curves within the Locus of Hyperelliptic Jacobians in Genus 3: Table 1.
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2015
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Samuel Grushevsky
Martin Möller
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PDF
Chat
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On the Coble quartic
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2015
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Samuel Grushevsky
Riccardo Salvati Manni
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PDF
Chat
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Siegel modular forms of genus 2 and level 2
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2015
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Fabien Cléry
Gerard van der Geer
Samuel Grushevsky
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PDF
Chat
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Real-Normalized Differentials and the Elliptic Calogero-Moser System
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2015
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Samuel Grushevsky
I. M. Krichever
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+
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Explicit formulas for infinitely many Shimura curves in genus 4
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2015
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Samuel Grushevsky
Martin Moeller
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+
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Vector-valued modular forms and the Gauss map
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2015
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Francesco Dalla Piazza
Alessio Fiorentino
Samuel Grushevsky
Sara Perna
Riccardo Salvati Manni
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Siegel modular forms of genus 2 and level 2 (with an appendix by Shigeru Mukai)
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2015
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Fabien Cléry
Gerard van der Geer
Samuel Grushevsky
Shigeru Mukai
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PDF
Chat
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Singularities of theta divisors and the geometry of $\mathcal A_5$
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2014
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Gavril Farkas
Samuel Grushevsky
Riccardo Salvati Manni
Alessandro Verra
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PDF
Chat
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The double ramification cycle and the theta divisor
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2014
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Samuel Grushevsky
Dmitry Zakharov
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PDF
Chat
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The zero section of the universal semiabelian variety and the double ramification cycle
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2014
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Samuel Grushevsky
Dmitry Zakharov
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Extending the Prym map to toroidal compactifications of the moduli space of abelian varieties
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2014
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Sebastian Casalaina‐Martin
Samuel Grushevsky
Klaus Hulek
Radu Laza
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PDF
Chat
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The Prym Map on Divisors, and the Slope of A5
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2013
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Samuel Grushevsky
Riccardo Salvati Manni
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Real-normalized differentials and the geometry of the moduli space of curves
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2013
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Samuel Grushevsky
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Shimura curves within the locus of hyperelliptic Jacobians in genus three
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2013
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Samuel Grushevsky
Martin Moeller
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+
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Stable cohomology of the perfect cone toroidal compactification of the moduli space of abelian varieties
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2013
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Samuel Grushevsky
Klaus Hulek
Orsola Tommasi
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+
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Siegel modular forms of genus 2 and level 2
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2013
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Fabien Cléry
Gerard van der Geer
Samuel Grushevsky
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+
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Siegel modular forms of genus 2 and level 2
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2013
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Fabien Cléry
Gerard van der Geer
Samuel Grushevsky
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+
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Shimura curves within the locus of hyperelliptic Jacobians in genus three
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2013
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Samuel Grushevsky
Martin Moeller
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+
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On the Coble quartic
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2012
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Samuel Grushevsky
Riccardo Salvati Manni
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+
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The double ramification cycle and the theta divisor
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2012
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Samuel Grushevsky
Dmitry Zakharov
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+
PDF
Chat
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The Scorza correspondence in genus 3
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2012
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Samuel Grushevsky
Riccardo Salvati Manni
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+
PDF
Chat
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The class of the locus of intermediate Jacobians of cubic threefolds
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2012
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Samuel Grushevsky
Klaus Hulek
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+
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Geometry of theta divisors --- a survey
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2012
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Samuel Grushevsky
Klaus Hulek
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+
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The double ramification cycle and the theta divisor
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2012
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Samuel Grushevsky
Dmitry Zakharov
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+
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On the Coble quartic
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2012
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Samuel Grushevsky
Riccardo Salvati Manni
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Singularities of theta divisors and the geometry of A_5
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2011
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Gavril Farkas
Samuel Grushevsky
Riccardo Salvati Manni
Alessandro Verra
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Foliations on the moduli space of curves, vanishing in cohomology, and Calogero-Moser curves
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2011
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Samuel Grushevsky
I. M. Krichever
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PDF
Chat
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The superstring cosmological constant and the Schottky form in genus 5
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2011
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Samuel Grushevsky
Riccardo Salvati Manni
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The Prym map on divisors, and the slope of A_5
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2011
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Samuel Grushevsky
Riccardo Salvati Manni
Klaus Hulek
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Principally polarized semi-abelic varieties of small torus rank, and the Andreotti-Mayer loci
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2011
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Samuel Grushevsky
Klaus Hulek
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PDF
Chat
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Principally Polarized Semi-Abelic Varieties of Small Torus Rank, and the Andreotti-Mayer Loci
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2011
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Samuel Grushevsky
Klaus Hulek
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Singularities of theta divisors and the geometry of A_5
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2011
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Gavril Farkas
Samuel Grushevsky
Riccardo Salvati Manni
Alessandro Verra
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Principally polarized semi-abelic varieties of small torus rank, and the Andreotti-Mayer loci
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2011
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Samuel Grushevsky
Klaus Hulek
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The Prym map on divisors, and the slope of A_5
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2011
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Samuel Grushevsky
Riccardo Salvati Manni
Klaus Hulek
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+
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Real-normalized differentials and the elliptic Calogero-Moser system
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2011
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Samuel Grushevsky
I. M. Krichever
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+
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The Schottky Problem
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2010
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Samuel Grushevsky
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+
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The Scorza correspondence in genus 3
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2010
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Samuel Grushevsky
Riccardo Salvati Manni
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PDF
Chat
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Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants
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2010
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Samuel Grushevsky
I. M. Krichever
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The Schottky Problem
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2010
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Samuel Grushevsky
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The Scorza correspondence in genus 3
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2010
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Samuel Grushevsky
Riccardo Salvati Manni
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PDF
Chat
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A Special Case of the Γ00 Conjecture
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2010
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Samuel Grushevsky
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PDF
Chat
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The Vanishing of Two-Point Functions for Three-Loop Superstring Scattering Amplitudes
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2009
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Samuel Grushevsky
Riccardo Salvati Manni
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+
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Some intersection numbers of divisors on toroidal compactifications of 𝒜_{ℊ}
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2009
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Cord Erdenberger
Samuel Grushevsky
Klaus Hulek
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PDF
Chat
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The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces
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2009
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Samuel Grushevsky
I. M. Krichever
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+
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Geometry of 𝒜_{ℊ} and its compactifications
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2009
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Samuel Grushevsky
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PDF
Chat
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The loci of abelian varieties with points of high multiplicity on the theta divisor
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2008
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Samuel Grushevsky
Riccardo Salvati Manni
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+
PDF
Chat
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Superstring Scattering Amplitudes in Higher Genus
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2008
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Samuel Grushevsky
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On the cosmological constant for the chiral superstring measure
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2008
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Samuel Grushevsky
Riccardo Salvati Manni
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+
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The superstring cosmological constant and the Schottky form in genus 5
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2008
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Samuel Grushevsky
Riccardo Salvati Manni
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+
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A special case of the $\Gamma_{00}$ conjecture
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2008
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Samuel Grushevsky
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PDF
Chat
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Jacobians with a vanishing theta-null in genus 4
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2008
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Samuel Grushevsky
Riccardo Salvati Manni
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+
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The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces
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2008
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Samuel Grushevsky
I. M. Krichever
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Some Intersections in the Poincare Bundle and the Universal Theta Divisor on (A)over-bar(g)
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2008
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Samuel Grushevsky
David Lehavi
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+
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The loci of abelian varieties with points of high multiplicity on the theta divisor
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2008
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Samuel Grushevsky
Riccardo Salvati Manni
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PDF
Chat
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Some Intersections in the Poincaré Bundle and the Universal Theta Divisor on
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2008
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Samuel Grushevsky
David Lehavi
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+
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The superstring cosmological constant and the Schottky form in genus 5
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2008
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Samuel Grushevsky
Riccardo Salvati Manni
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+
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A special case of the $Γ_{00}$ conjecture
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2008
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Samuel Grushevsky
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+
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Geometry of A_g and Its Compactifications
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2007
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Samuel Grushevsky
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PDF
Chat
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Singularities of the Theta Divisor at Points of Order Two
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2007
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Samuel Grushevsky
Riccardo Salvati Manni
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+
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Some intersection numbers of divisors on toroidal compactifications of A_g
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2007
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Cord Erdenberger
Samuel Grushevsky
Klaus Hulek
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+
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Singularities of the theta divisor at points of order two
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2007
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Samuel Grushevsky
Riccardo Salvati Manni
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+
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Geometry of A_g and Its Compactifications
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2007
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Samuel Grushevsky
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INTERSECTION THEORY OF TOROIDAL COMPACTIFICATIONS OF ${\cal A}_4$
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2006
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Cord Erdenberger
Samuel Grushevsky
Klaus Hulek
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PDF
Chat
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Theta functions of arbitrary order and their derivatives
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2006
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Samuel Grushevsky
Riccardo Salvati Manni
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+
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Jacobians with a vanishing theta-null in genus 4
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2006
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Samuel Grushevsky
Riccardo Salvati Manni
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+
PDF
Chat
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Some intersections in the Poincare bundle, and the universal theta divisor on the moduli space of (semi)abelian varieties
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2005
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Samuel Grushevsky
David Lehavi
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A_6 is of general type
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2005
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Samuel Grushevsky
David Lehavi
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PDF
Chat
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Multiplier ideals in algebraic geometry
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2005
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Samuel Grushevsky
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PDF
Chat
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Two generalizations of Jacobi’s derivative formula
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2005
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Samuel Grushevsky
Riccardo Salvati Manni
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+
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Intersection theory of toroidal compactifications of A_4
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2005
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Cord Erdenberger
Samuel Grushevsky
Klaus Hulek
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+
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Cubic equations for the hyperelliptic locus
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2005
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Samuel Grushevsky
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PDF
Chat
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Errata to “Cubic equations for the hyperelliptic locus”, Asian J. Math., Vol. 8, No. 1, 161--172, 2004
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2005
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Samuel Grushevsky
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Multiplier ideals in algebraic geometry
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2005
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Samuel Grushevsky
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PDF
Chat
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Gradients of odd theta functions
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2004
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Samuel Grushevsky
Riccardo Salvati Manni
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+
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The degree of the Jacobian locus and the Schottky problem
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2004
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Samuel Grushevsky
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PDF
Chat
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CUBIC EQUATIONS FOR THE HYPERELLIPTIC LOCUS
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2004
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Samuel Grushevsky
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Theta functions of arbitrary order and their derivatives
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2004
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Samuel Grushevsky
Riccardo Salvati Manni
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+
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Gradients of odd theta functions
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2003
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Samuel Grushevsky
Riccardo Salvati Manni
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+
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Two generalizations of Jacobi's derivative formula
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2003
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Samuel Grushevsky
Riccardo Salvati Manni
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PDF
Chat
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An explicit upper bound for Weil-Petersson volumes of the moduli spaces of punctured Riemann surfaces
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2001
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Samuel Grushevsky
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Explicit upper bound for the Weil-Petersson volumes
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2000
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Samuel Grushevsky
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