Wall-Crossing and Algebraic Geometry

Project Information

WallCrossAG

Grant agreement ID: 819864

DOI

10.3030/819864

Project closed

EC signature date 14 February 2019

Start date 1 June 2019

End date 28 February 2025

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 999 840,00

EU contribution

€ 1 999 840,00

Coordinated by

THE UNIVERSITY OF EDINBURGH
United Kingdom

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (19)

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 on Kuznetsov components

Author(s): Arend BAYER, Martí LAHOZ, Emanuele MACRÌ, Paolo STELLARI
Published in: Annales scientifiques de l'École Normale Supérieure, Issue 56, 2023, Page(s) 517-570, ISSN 0012-9593
Publisher: Elsevier BV
DOI: 10.24033/asens.2539

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

On the Chow theory of Quot schemes of locally free quotients

Author(s): Qingyuan Jiang
Published in: Journal of Pure and Applied Algebra, Issue 229, 2025, Page(s) 107782, ISSN 0022-4049
Publisher: Elsevier BV
DOI: 10.1016/j.jpaa.2024.107782

New perspectives on categorical Torelli theorems for del Pezzo threefolds

Author(s): Soheyla Feyzbakhsh, Zhiyu Liu, Shizhuo Zhang
Published in: Journal de Mathématiques Pures et Appliquées, Issue 191, 2024, Page(s) 103627, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2024.103627

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

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

Author(s): Fatemeh Rezaee
Published in: Selecta Mathematica, Issue 30, 2024, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-024-00985-9

Other (14)

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

Fusion-equivariant stability conditions and Morita duality

Author(s): Hannah Dell, Edmund Heng, Anthony M. Licata
Published in: 2023
Publisher: arXiv

Derived Grassmannians and derived Schur functors

Author(s): Jiang, Qingyuan
Published in: Issue 2, 2022
Publisher: arXv
DOI: 10.48550/arxiv.2212.10488

Derived Categories of Derived Grassmannians

Author(s): Jiang, Qingyuan
Published in: Issue 2, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2307.02456

Mukai models of Fano varieties

Author(s): Arend Bayer, Alexander Kuznetsov, Emanuele Macrì
Published in: 2025
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

Brill--Noether theory for Kuznetsov components and refined categorical Torelli theorems for index one Fano threefolds

Author(s): Jacovskis, Augustinas; Liu, Zhiyu; Zhang, Shizhuo
Published in: Issue 2, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2207.01021

Stability Conditions on Free Abelian Quotients

Author(s): Dell, Hannah
Published in: Issue 5, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2307.00815

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

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

Mukai bundles on Fano threefolds

Author(s): Arend Bayer, Alexander Kuznetsov, Emanuele Macrì
Published in: 2024
Publisher: arXiv

Cyclic covers: Hodge theory and categorical Torelli theorems

Author(s): Hannah Dell, Augustinas Jacovskis, Franco Rota
Published in: 2023
Publisher: arXiv

Non-peer reviewed articles (5)

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

Author(s): Naoki Koseki
Published in: Mathematical Research Letters, Issue 30, 2024, Page(s) 1113-1130, ISSN 1073-2780
Publisher: Mathematical Publishing
DOI: 10.4310/mrl.2023.v30.n4.a6

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

Cohomological $\chi$-independence for Higgs bundles and Gopakumar–Vafa invariants

Author(s): Tasuki Kinjo, Naoki Koseki
Published in: Journal of the European Mathematical Society, 2024, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/1487

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

Author(s): Hanfei Guo, Zhiyu Liu, Shizhuo Zhang
Published in: Mathematical Research Letters, Issue 31, 2025, Page(s) 1061-1106, ISSN 1073-2780
Publisher: Mathematical Publishing
DOI: 10.4310/mrl.241119003311