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Wall-Crossing and Algebraic Geometry

Publications

On cyclic strong exceptional collections of line bundles on surfaces

Author(s): Alexey Elagin, Junyan Xu, Shizhuo Zhang
Published in: European Journal of Mathematics, 2020, ISSN 2199-675X
Publisher: Springer
DOI: 10.1007/s40879-020-00417-w

Infinitesimal categorical Torelli theorems for Fano threefolds

Author(s): Jacovskis, Augustinas; Lin, Xun; Liu, Zhiyu; Zhang, Shizhuo
Published in: Journal of Pure and Applied Algebra, Issue 3, 2023, ISSN 0022-4049
Publisher: Elsevier BV
DOI: 10.1016/j.jpaa.2023.107418

On the Bogomolov-Gieseker inequality in positive characteristic

Author(s): Koseki, Naoki
Published in: International Mathematics Research Notices, 2023, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnac260

Full exceptional collections for anticanonical log del Pezzo surfaces

Author(s): Giulia Gugiatti, Franco Rota
Published in: International Mathematics Research Notices, 2023, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnad228

Stability conditions in families

Author(s): Arend Bayer, Martí Lahoz, Emanuele Macrì, Howard Nuer, Alexander Perry, Paolo Stellari
Published in: Publications mathématiques de l'IHÉS volume, 2021, ISSN 0073-8301
Publisher: Springer Verlag
DOI: 10.1007/s10240-021-00124-6

Categorical Torelli theorems for Gushel--Mukai threefolds

Author(s): Augustinas Jacovskis, Xun Lin, Zhiyu Liu, Shizhuo Zhang
Published in: Journal of the LMS, 2024, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12878

Geometry of canonical genus 4 curves

Author(s): Rezaee, Fatemeh
Published in: Proceedings of the London Mathematical Society, 2024, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.12577

Brill–Noether Theory of Hilbert Schemes of Points on Surfaces

Author(s): Bayer, Arend; Chen, Huachen; Jiang, Qingyuan
Published in: International Mathematics Research Notices, 2023, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnad263

Stability conditions and moduli spaces for Kuznetsov components of Gushel-Mukai varieties

Author(s): Alexander Perry, Laura Pertusi, Xiaolei Zhao
Published in: Geometry & Topology, 2022, ISSN 1465-3060
Publisher: University of Warwick
DOI: 10.2140/gt.2022.26.3055

Residual categories of quadric surface bundles

Author(s): Xie, Fei
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal), 2023, ISSN 0075-4102
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/crelle-2022-0092

On entropy of spherical twists

Author(s): Genki Ouchi, with an appendix by Arend Bayer
Published in: Proceedings of the American Mathematical Society, 2020, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/14762

Thurston compactifications of spaces of stability conditions on curves

Author(s): Kikuta, Kohei; Koseki, Naoki; Ouchi, Genki
Published in: Transactions of the American Mathematical Society, 2024, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/9104

Perverse schobers and Orlov equivalences

Author(s): Naoki Koseki; Genki Ouchi
Published in: European Journal of Mathematics, 2023, ISSN 2199-6768
Publisher: Springer Nature
DOI: 10.1007/s40879-023-00628-x

Nodal quintic del Pezzo threefolds and their derived categories

Author(s): Xie, Fei
Published in: Mathematische Zeitschrift, 2023, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-023-03311-9

Kuznetsov’s Fano threefold conjecture via K3 categories and enhanced group actions

Author(s): Arend Bayer; Alexander Perry
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal), 2023, ISSN 1435-5345
Publisher: De Gruyter
DOI: 10.1515/crelle-2023-0021

Kuznetsov's Fano threefold conjecture via K3 categories and enhanced group actions

Author(s): Arend Bayer, Alex Perry
Published in: 2021
Publisher: arXiv

The desingularization of the theta divisor of a cubic threefold as a moduli space

Author(s): Arend Bayer, Sjoerd Beentjes, Soheyla Feyzbakhsh, Georg Hein, Diletta Martinelli, Fatemeh Rezaee, Benjamin Schmidt
Published in: Geometry & Topology, Issue 28, 2024, Page(s) 127-160
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/gt.2024.28.127

An interesting wall-crossing: Failure of the wall-crossing/MMP correspondence

Author(s): Rezaee, Fatemeh
Published in: 2020
Publisher: arXiv

Residual categories of quadric surface bundles

Author(s): Fei Xie
Published in: 2022
Publisher: arXiv

On the Bogomolov-Gieseker inequality for hypersurfaces in the projective spaces

Author(s): Koseki, Naoki
Published in: Mathematical Research Letters (to appear), 2020
Publisher: arXiv

Symmetric products of dg categories and semi-orthogonal decompositions

Author(s): Naoki Koseki
Published in: 2022
Publisher: arXiv

The unreasonable effectiveness of wall-crossing in algebraic geometry

Author(s): Arend Bayer, Emanuele Macri
Published in: International Congress of Mathematicians, Issue III, 2023, Page(s) 2172–2195, ISBN 978-3-98547-061-7
Publisher: EMS Press
DOI: 10.4171/icm2022/80

A moduli theoretic approach to Lagrangian subvarieties of hyperkähler varieties: Examples

Author(s): Hanfei Guo, Zhiyu Liu, Shizhuo Zhang
Published in: 2022
Publisher: arXiv

Nodal quintic del Pezzo threefolds and their derived categories

Author(s): Fei Xie
Published in: 2021
Publisher: arXiv

Bridgeland Moduli spaces and Kuznetsov's Fano threefold conjecture

Author(s): Shizhou Zhang
Published in: 2020
Publisher: arXiv

Categorical blow-up formula for Hilbert schemes of points

Author(s): Naoki Koseki
Published in: 2021
Publisher: arXiv

Cohomological χ-independence for Higgs bundles and Gopakumar-Vafa invariants

Author(s): Tasuki Kinjo, Naoki Koseki
Published in: 2021
Publisher: arXiv

Conics on Gushel-Mukai fourfolds, EPW sextics and Bridgeland moduli spaces

Author(s): Hanfei Guo, Zhiyu Liu, Shizhuo Zhang
Published in: 2022
Publisher: arXiv

Perverse schobers and Orlov equivalences

Author(s): Naoki Koseki, Genki Ouchi
Published in: 2022
Publisher: arXiv

Infinitesimal categorical Torelli theorems for Fano threefolds

Author(s): Augustinas Jacovskis, Xun Lin, Zhiyu Liu, Shizhuo Zhang
Published in: 2022
Publisher: arXiv

A note on Bridgeland moduli spaces and moduli spaces of sheaves on X14 and Y3

Author(s): Zhiyu Liu, Shizhuo Zhang
Published in: Mathematische Zeitschrift, 2022, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-022-03074-9

Stability conditions on Calabi-Yau double/triple solids

Author(s): Koseki, Naoki
Published in: Forum of Mathematics, Sigma, 2022, ISSN 2050-5094
Publisher: CUP
DOI: 10.1017/fms.2022.58

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