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All published works
Action
Title
Year
Authors
+
Kuznetsovâs Fano threefold conjecture via HochschildâSerre algebra
2024
Xun Lin
Shizhuo Zhang
+
PDF
Chat
IVHS via Kuznetsov components and categorical Torelli theorems for weighted hypersurfaces
2024
Xun Lin
Jørgen Vold Rennemo
Shizhuo Zhang
+
Serre algebra, matrix factorization and categorical Torelli theorem for hypersurfaces
2024
Xun Lin
Shizhuo Zhang
+
Categorical Torelli theorems for GushelâMukai threefolds
2024
Augustinas Jacovskis
Xun Lin
Zhiyu Liu
Shizhuo Zhang
+
PDF
Chat
Fully faithful functors, skyscraper sheaves, and birational equivalence
2024
Chunyi Li
Xun Lin
Xiaolei Zhao
+
PDF
Chat
Indecomposability of the bounded derived categories of Brill-Noether varieties
2024
Xun Lin
Chenglong Yu
+
PDF
Chat
Noncommutative Hodge conjecture
2023
Xun Lin
+
PDF
Chat
Infinitesimal categorical Torelli theorems for Fano threefolds
2023
Augustinas Jacovskis
Xun Lin
Zhiyu Liu
Shizhuo Zhang
+
Serre algebra, matrix factorization and categorical Torelli theorem for hypersurfaces
2023
Xun Lin
Shizhuo Zhang
+
Kuznetsov's Fano threefold conjecture via Hochschild-Serre algebra
2023
Xun Lin
Shizhuo Zhang
+
Hochschild cohomology and categorical Torelli theorems for Gushel--Mukai threefolds
2021
Augustinas Jacovskis
Xun Lin
Zhiyu Liu
Shizhuo Zhang
+
On nonexistence of semi-orthogonal decompositions in algebraic geometry
2021
Xun Lin
+
Indecomposability of the bounded derived categories of Brill-Noether varieties
2021
Xun Lin
Chenglong Yu
+
Categorical Torelli theorems for Gushel-Mukai threefolds
2021
Augustinas Jacovskis
Xun Lin
Zhiyu Liu
Shizhuo Zhang
Common Coauthors
Coauthor
Papers Together
Shizhuo Zhang
5
Augustinas Jacovskis
4
Shizhuo Zhang
3
Zhiyu Liu
3
Chenglong Yu
2
Zhiyu Liu
1
Xiaolei Zhao
1
Jørgen Vold Rennemo
1
Chunyi Li
1
Shizhuo Zhang
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
A categorical invariant for cubic threefolds
2011
Marcello Bernardara
Emanuele MacrĂŹ
Sukhendu Mehrotra
Paolo Stellari
6
+
PDF
Chat
The integral Hodge conjecture for two-dimensional CalabiâYau categories
2022
Alexander Perry
6
+
Fourier-Mukai Transforms in Algebraic Geometry
2006
Daniel Huybrechts
5
+
PDF
Chat
Derived categories of Fano threefolds
2009
Alexander Kuznetsov
5
+
On the period map for prime Fano threefolds of degree 10
2011
Olivier Debarre
Atanas Iliev
Laurent Manivel
4
+
Semiorthogonal decompositions in algebraic geometry
2014
Alexander Kuznetsov
4
+
PDF
Chat
Equivalences of derived categories andK3 surfaces
1997
Dmitri Olegovich Orlov
4
+
PDF
Chat
Stably semiorthogonally indecomposable varieties
2023
Dmitrii Pirozhkov
3
+
PDF
Chat
CalabiâYau and fractional CalabiâYau categories
2017
Alexander Kuznetsov
3
+
PDF
Chat
Derived categories of cyclic covers and their branch divisors
2016
Alexander Kuznetsov
Alexander Perry
3
+
PDF
Chat
Vector bundles on Fano threefolds of genus 7 and BrillâNoether loci
2014
Maria Chiara Brambilla
Daniele Faenzi
3
+
A note on the Kuznetsov component of the Veronese double cone
2022
Marin PetkoviÄ
Franco Rota
3
+
PDF
Chat
The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds
2016
Arend Bayer
Emanuele MacrĂŹ
Paolo Stellari
3
+
Gushel-Mukai varieties: Classification and birationalities
2018
Olivier Debarre
Alexander Kuznetsov
3
+
PDF
Chat
Derived Categories of Cubic Fourfolds
2009
Alexander Kuznetsov
3
+
PDF
Chat
Stability conditions on Kuznetsov components
2023
Arend Bayer
MartĂ Lahoz
Emanuele MacrĂŹ
Paolo Stellari
3
+
PDF
Chat
Some Remarks on Fano Three-Folds of Index Two and Stability Conditions
2020
Laura Pertusi
Song Yang
3
+
PDF
Chat
Categorical Torelli theorems: results and open problems
2022
Laura Pertusi
Paolo Stellari
3
+
PDF
Chat
K3 surfaces via almost-primes
2002
Keiji Oguiso
3
+
None
2005
Gonçalo Tabuada
3
+
PDF
Chat
Stability conditions on curves
2007
Emanuele MacrĂŹ
3
+
The Mukai pairingâII: the HochschildâKostantâRosenberg isomorphism
2004
Andrei CÄldÄraru
3
+
The Fano surface of the Gushel threefold
1994
Atanas Iliev
3
+
PDF
Chat
A note on semiorthogonal indecomposability of some Cohen-Macaulay varieties
2022
Dylan Spence
3
+
PDF
Chat
Topological K-theory of complex noncommutative spaces
2015
Anthony Blanc
3
+
Uniqueness of enhancement for triangulated categories
2010
Valery A. Lunts
Dmitri Olegovich Orlov
2
+
Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities
2013
Arend Bayer
Emanuele MacrĂŹ
Yukinobu Toda
2
+
PDF
Chat
Fano manifolds of degree ten and EPW sextics
2011
Atanas Iliev
Laurent Manivel
2
+
PDF
Chat
A refined derived Torelli theorem for Enriques surfaces
2020
Chunyi Li
Howard Nuer
Paolo Stellari
Xiaolei Zhao
2
+
Stable curves and special divisors: Petri's conjecture
1982
D. Gieseker
2
+
PDF
Chat
Derived categories of GushelâMukai varieties
2018
Alexander Kuznetsov
Alexander Perry
2
+
PDF
Chat
Fano threefolds of Genus 6
2012
Dmitry Logachev
2
+
On the variety of special linear systems on a general algebraic curve
1980
Phillip Griffiths
Joseph Harris
2
+
PDF
Chat
Derived automorphism groups of K3 surfaces of Picard rank 1
2016
Arend Bayer
Tom Bridgeland
2
+
Bridgeland Moduli spaces and Kuznetsov's Fano threefold conjecture
2020
Shizhuo Zhang
2
+
Stability conditions on Fano threefolds of Picard number 1
2018
Chunyi Li
2
+
PDF
Chat
Parametrization of Sing $\Theta$ for a Fano 3-fold of Genus 7 by Moduli of Vector Bundles
2007
Atanas Iliev
Dimitri Markushevich
2
+
Bridgeland stability conditions on wild Kronecker quivers
2019
George Dimitrov
Ludmil Katzarkov
2
+
PDF
Chat
A category of kernels for equivariant factorizations and its implications for Hodge theory
2013
Matthew R. Ballard
David Favero
Ludmil Katzarkov
2
+
Nonexistence of semiorthogonal decompositions and sections of the canonical bundle
2015
Kotaro Kawatani
Shinnosuke Okawa
2
+
Generic torelli for projective hypersurfaces
1983
Ron Donagi
2
+
Invariance and localization for cyclic homology of DG algebras
1998
Bernhard Keller
2
+
Fractional Calabi�Yau categories from Landau�Ginzburg models
2018
David Favero
2
+
Noncommutative counterparts of celebrated conjectures
2018
Gonçalo Tabuada
2
+
Derived invariance of the TamarkinâTsygan calculus of an algebra
2019
Marco Armenta
Bernhard Keller
2
+
The infinitesimal Torelli problem for zero sets of sections of vector bundles
1986
Hubert Flenner
2
+
Indecomposability of derived categories in families
2020
Francesco Bastianelli
Pieter Belmans
Shinnosuke Okawa
Andrea T. Ricolfi
2
+
PDF
Chat
Hilbert schemes of lines and conics and automorphism groups of Fano threefolds
2018
Alexander Kuznetsov
Yuri Prokhorov
Constantin Shramov
2
+
Lines on the Gushel' threefold
1994
Atanas Iliev
2
+
PDF
Chat
M-regularity and the Fourier-Mukai Transform
2008
Giuseppe Pareschi
Mihnea Popa
2