SU\G(𝔾)/K·U
Mathematics â€ș Geometry and Topology

Algebraic Geometry and Number Theory

Works Count: 92296

Description

This cluster of papers covers a wide range of topics in algebraic geometry and moduli theory, including Gromov-Witten theory, log canonical singularities, motivic cohomology, minimal models, tropical geometry, intersection theory, symplectic geometry, birational geometry, and diophantine equations.

Keywords

Moduli Theory; Gromov-Witten Theory; Log Canonical Singularities; Motivic Cohomology; Minimal Models; Tropical Geometry; Intersection Theory; Symplectic Geometry; Birational Geometry; Diophantine Equations

Most Cited Works

Action Title Date Authors
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The Arithmetic of Elliptic Curves 1986-01-01 Joseph H. Silverman
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Linear algebraic groups 1966-01-01 Armand Borel
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Introduction: Motivation 2020-03-06 Chris Wendl
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Cohomology of Number Fields 2008-01-01 JĂŒrgen Neukirch Alexander Schmidt Kay Wingberg
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Rational Curves on Algebraic Varieties 1996-01-01 JanĂłs KollĂĄr
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Vector Bundles on Complex Projective Spaces 1980-01-01 Christian Okonek Michael Schneider Heinz Spindler
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Introduction to Cyclotomic Fields 1982-01-01 Lawrence C. Washington
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The Self-Duality Equations on a Riemann Surface 1987-07-01 Nigel Hitchin
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Geometric Invariant Theory 1994-01-01 David Mumford John E. Fogarty Frances Kirwan
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Advanced Topics in the Arithmetic of Elliptic Curves 1994-01-01 Joseph H. Silverman
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Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups 2000-01-01 A. Borel Nolan R. Wallach
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Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties 1993-01-01 Victor V. Batyrev
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Mirror Symmetry and Algebraic Geometry 1999-03-02 David Cox Sheldon Katz
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Compact Manifolds with Special Holonomy 2000-07-20 Dominic Joyce
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Loop groups and equations of KdV type 1985-12-01 Graeme Segal George Wilson
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Introduction to the Minimal Model Problem 2018-06-06 YĆ«jirƍ Kawamata Katsumi Matsuda Kenji Matsuki
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Propriïżœtïżœs galoisiennes des points d'ordre fini des courbes elliptiques 1971-12-01 Jean-Pierre Serre
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Factoring Integers with Elliptic Curves 1987-11-01 H. W. Lenstra
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An Introduction to Diophantine Approximation. 1958-06-01 John C. Brixey J. W. S. Cassels
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Ring-Theoretic Properties of Certain Hecke Algebras 1995-05-01 Richard Taylor Andrew Wiles
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Three dimensional manifolds, Kleinian groups and hyperbolic geometry 1982-05-01 William P. Thurston
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Space of Unitary Vector Bundles on a Compact Riemann Surface 1967-03-01 C. S. Seshadri
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Théorie de hodge, III 1974-01-01 Pierre Deligne
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The irreducibility of the space of curves of given genus 1969-01-01 Pierre Deligne D. Mumford
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Higgs bundles and local systems 1992-12-01 Carlos Simpson
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Fundamentals of Diophantine Geometry 1983-01-01 Serge Lang
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Modular curves and the eisenstein ideal 1977-12-01 Barry Mazur
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The Yang-Mills equations over Riemann surfaces 1983-03-17 Michael Atiyah Raoul Bott
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The Geometry of Moduli Spaces of Sheaves 1997-01-01 Daniel Huybrechts Manfred Lehn
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Identity-Based Encryption from the Weil Pairing 2003-01-01 Dan Boneh Matthew Franklin
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La conjecture de Weil. I 1974-12-01 Pierre Deligne
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A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory 1991-07-01 Philip Candelas Xenia C. de la Ossa Paul S. Green Linda Parkes
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On the ricci curvature of a compact kĂ€hler manifold and the complex monge‐ampĂ©re equation, I 1978-05-01 Shing–Tung Yau
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Liouville Correlation Functions from Four-Dimensional Gauge Theories 2010-01-21 Luis F. Alday Davide Gaiotto Yuji Tachikawa
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Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles 1985-01-01 Simon Donaldson
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Projective Geometries over Finite Fields 1998-01-08 J. W. P. Hirschfeld
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Automorphic Forms on GL (2) 1970-01-01 H. Jacquet R. P. Langlands
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Moduli of representations of the fundamental group of a smooth projective variety. II 1994-12-01 Carlos Simpson
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Vector Bundles Over an Elliptic Curve 1957-01-01 Michael Atiyah
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Some mathematical questions related to the mhd equations 1983-09-01 Michel Sermange Roger TĂ©mam
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Topological Methods in Algebraic Geometry 1966-01-01 Friedrich Hirzebruch
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Existence of minimal models for varieties of log general type 2009-11-13 Caucher Birkar Paolo Cascini Christopher D. Hacon James M textupc Kernan
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Sur quelques points d'algĂšbre homologique, I 1957-01-01 Alexander Grothendieck
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Modular Elliptic Curves and Fermat's Last Theorem 1995-05-01 Andrew Wiles
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Partial differential equations of parabolic type 1965-06-01 John S. Maybee
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Heegner points and derivatives ofL-series 1986-06-01 Benedict H. Gross Don Zagier
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Gromov-Witten classes, quantum cohomology, and enumerative geometry 1994-08-01 Maxim Kontsevich Yu. I. Manin
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Algebraic number theory 1999-11-22 Kazuya KatĂŽ Nobushige Kurokawa Takeshi Saito
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Characteristic Classes. (AM-76) 1974-12-31 John Milnor James Stasheff
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The Arithmetic of Elliptic Curves 2009-01-01 Joseph H. Silverman

Most Recent Works

Action Title Date Authors
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FROM ENERGY ALONE: RECONSTRUCTING HODGE CLASSES VIA SCALAR CURVATURE FIELDS 2025-05-01 Yuval Fradkin
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Dissections of lacunary eta quotients and identically vanishing coefficients 2025-05-01 Tim Huber James Mc Laughlin Dongxi Ye
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On the Diophantine Equations of the Form \( x^2 - kxy + ky^2 + 2ny = 0 \) 2025-05-01 Supawadee Prugsapitak Nattaporn Thongngam
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Graphs of trigonal curves and rigid isotopies of singular real algebraic curves of bidegree (4, 3) on a hyperboloid 2025-05-02 В. И. ЗĐČĐŸĐœĐžĐ»ĐŸĐČ
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Logarithmic vanishing theorems on weakly 1-complete KĂ€hler manifolds 2025-05-02 Shilong Lu
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Logarithmic tautological rings of the moduli spaces of curves 2025-05-02 Rahul Pandharipande Dhruv Ranganathan Johannes Schmitt Pim Spelier
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Galois module structure of algebraic integers of the simplest cubic field 2025-05-01 Hajime Ogawa Miho Aoki
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Quadratic pseudostable hodge integrals and Mumford’s relation 2025-05-03 Renzo Cavalieri Matthew M. Williams
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Toward Qin’s conjecture on Hilbert schemes of points and quasi-modular forms 2025-05-03 Mazen M. Alhwaimel
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A saturated 1-system of curves on the surface of genus 3 2025-05-03 Zhaoshen Zhai
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Holomorphic forms and non-tautological cycles on moduli spaces of curves 2025-05-04 Veronica Arena Samir Canning Emily Clader Richard Haburcak Amy Q. Li Siao Chi Mok Carolina Tamborini
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Rank-Two Reflexive Sheaves on the Projective Space with Second Chern Class Equal to Four 2025-05-04 Marcos Jardim Alan Muniz
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Eventual tightness of projective dimension growth bounds: quadratic in the degree 2025-05-01 Raf Cluckers Itay Glazer
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Splitting of almost ordinary abelian surfaces in families and the 𝑆-integrality conjectures 2025-05-05 Ruofan Jiang
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Dualizing complexes on the moduli of parabolic bundles 2025-05-05 Linus Hamann Naoki Imai
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The natural operators lifting $q$-forms to $p$-forms on Weil bundles 2025-05-05 WƂodzimierz M. Mikulski
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Models of CM elliptic curves with a prescribed ℓ-adic Galois image 2025-05-01 Enrique GonzĂĄlez–JimĂ©nez Álvaro Lozano‐Robledo Benjamin York
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On discrete affine invariants of PL curves in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math> 2025-05-01 Ya. V. BazaÄ­kin Alexei Kotov
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Remarks on the $$\mathbb {Z}/p$$ Dijkgraaf-Witten Invariants of 3D Mapping Tori 2025-05-01 William Chen Alex Kontorovich Shehryar Sikander
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Cyclotomic primes 2025-05-01 Carl Pomerance
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Tetragonal modular quotients <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msubsup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mo linebreak="badbreak" linebreakstyle="after">+</mml:mo><mml:mi>d</mml:mi></mml:mrow></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> 2025-05-01 Petar Orlić
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On the signed Selmer groups for motives at non-ordinary primes in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msubsup><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math>-extensions 2025-05-01 Jishnu Ray Florian Sprung
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Effectivity for existence of rational points is undecidable 2025-05-01 Natalia Garcia‐Fritz HĂ©ctor PastĂ©n Xavier Vidaux
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Generation of cyclotomic Hecke fields by L-values of cusp forms on GL(2) with certain <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math> twist 2025-05-01 Jaesung Kwon
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3-Selmer groups, ideal class groups and the cube sum problem 2025-05-01 Somnath Jha Dipramit Majumdar Pratiksha Shingavekar
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Multiple cover formulas for complex and refined invariants in abelian surfaces 2025-05-01 Thomas Blomme
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Unit group of some triquadratic number fields and Greenberg’s conjecture 2025-05-06 Abdellah Sbai Idriss Jerrari Abdelmalek Azizi
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Capped vertex functions for $${\text {Hilb}}^n(\mathbb {C}^2)$$ 2025-05-06 Jeffrey Ayers Andrey S. Smirnov
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Bordifications of the moduli spaces of tropical curves and abelian varieties, and unstable cohomology of $\mathrm{GL}_{g}(\mathbb{Z})$ and $\mathrm{SL}_{g}(\mathbb{Z})$ 2025-05-06 Francis Brown
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On the Dynamical Mordell–Lang Conjecture in Positive Characteristic 2025-05-01 Junyi Xie She Yang
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Legendre Transformations of a Class of Generalized Frobenius Manifolds and the Associated Integrable Hierarchies 2025-05-07 Si-Qi Liu Haonan Qu Youjin Zhang
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Explicit computation of the field of moduli of some non-hyperelliptic pseudo-real curves 2025-05-07 Rubén A. Hidalgo
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Orbits of Theta Characteristics 2025-05-06 H. W. Braden Linden Disney-Hogg
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Lagrangian planes in hyperkÀhler varieties of $$K3^{[n]}$$-type 2025-05-07 Georg Oberdieck
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Sphere bundles over 4-manifolds are trivial after looping 2025-05-07 Ruizhi Huang
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What a set is: the V-view 2025-05-08 W. Hugh Woodin
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On the decomposition of quadratic pairs in characteristic two 2025-05-08 L. Jamshidi A.‐H. Nokhodkar
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Some counterexamples for a version of Springer's theorem on forms of higher degree 2025-05-08 A. S. Sivatski
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Integrable Corners in the Space of Gukov-Witten Surface Defects 2025-05-01 Adam Chalabi Charlotte Kristjansen Chenliang Su
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On the pluricanonical map of projective 3-folds of general type with P3 ≄ 2 2025-05-07 Yong Hu Jianshi Yan
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On the number of zeros of L−functions attached to cusp forms of half-integral weight 2025-05-01 Pedro Ribeiro
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Upper Bounds for the Lowest First Zero in Families of Cuspidal Newforms 2025-05-01 Palak Arora Glenn Bruda Bruce Fang RaĂșl A. MĂĄrquez Steven J. Miller Beni Prapashtica Vismay Sharan Donghoon Son Xueyiming Tang Saad Waheed
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Arithmetic invariant theory of reductive groups 2025-05-09 Yidi Wang
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Erratum to “Orientability of moduli spaces of Spin(7)-instantons and coherent sheaves on Calabi–Yau 4-folds” [Adv. Math. 368 (2020) 107134] 2025-05-09 Yalong Cao Jacob Gross Dominic Joyce
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Resurgence of deformed genus-1 curves: A novel perturbative/nonperturbative relation 2025-05-09 Atakan ÇavuƟoğlu Can Kozçaz Kemal Tezgin
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Derived 𝑝-adic heights and the leading coefficient of the Bertolini–Darmon–Prasanna 𝑝-adic 𝐿-function 2025-05-09 Francesc Castella Chi-Yun Hsu Debanjana Kundu Young-Min Lee Zheng Liu
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Lower bounds for Waldschmidt constants and Demailly’s conjecture for general and very general points 2025-05-09 Sankhaneel Bisui ThĂĄi ThĂ nh Nguyễn
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Special subvarieties in the locus of intermediate Jacobians of cubic threefolds 2025-05-09 Moritz Hartlieb
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Moduli of codimension two linear sections of subadjoint varieties 2025-05-09 Yingqi Liu
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Cohomology of the differential fundamental group of algebraic curves 2025-05-01 VĂ” QuĂŽc Bao PhĂčng HĂŽ HĂĄi Đào Văn Thịnh