Stability Conditions, Moduli Spaces and Enhancements

Project Information

StabCondEn

Grant agreement ID: 771507

DOI

10.3030/771507

Project closed

EC signature date 22 January 2018

Start date 1 February 2018

End date 31 January 2024

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 785 866,00

EU contribution

€ 785 866,00

Coordinated by

UNIVERSITA DEGLI STUDI DI MILANO
Italy

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 (12)

Elliptic quintics on cubic fourfolds, O'Grady 10, and Lagrangian fibrations

Author(s): Li, Chunyi; Pertusi, Laura; Zhao, Xiaolei
Published in: Advabnces in Mathematics, Issue 1, 2022, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2022.108584

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

Author(s): Perry, Alexander; Pertusi, Laura; Zhao, Xiaolei
Published in: Geometry and Topology, Issue 2, 2022, ISSN 1465-3060
Publisher: University of Warwick
DOI: 10.48550/arxiv.1912.06935

Stability conditions on Kuznetsov components, (Appendix joint also with X. Zhao)

Author(s): Bayer, M. Lahoz, E. Macrì, P. Stellari
Published in: Ann. Sci. Éc. Norm. Supér, 2023, ISSN 0012-9593
Publisher: Elsevier BV
DOI: 10.24033/asens.2539

Uniqueness of enhancements for derived and geometric categories

Author(s): Canonaco, Alberto; Neeman, Amnon; Stellari, Paolo
Published in: Forum Math. Sigma, Issue 5, 2022, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2022.82

Stability conditions in families

Author(s): Arend Bayer; Martí Lahoz; Martí Lahoz; Emanuele Macrì; Emanuele Macrì; Howard Nuer; Howard Nuer; Alexander Perry; Alexander Perry; Paolo Stellari
Published in: Publ. Math. IHES, Issue 5, 2021, ISSN 0073-8301
Publisher: Springer Verlag
DOI: 10.48550/arxiv.1902.08184

A refined derived Torelli theorem for Enriques surfaces

Author(s): Chunyi Li, Howard Nuer, Paolo Stellari, Xiaolei Zhao
Published in: Mathematische Annalen, 2020, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-020-02113-2

Syzygies of Kummer varieties

Author(s): Caucci, Federico
Published in: Transactions of the American Mathematica Society, Issue 1, 2023, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/9062

Some Remarks on Fano Three-Folds of Index Two and Stability Conditions

Author(s): Laura Pertusi; Song Yang
Published in: International Mathematica Research Notices, Issue 3, 2022, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnaa387

Categorical Torelli theorems: results and open problems

Author(s): Laura Pertusi; Paolo Stellari
Published in: Rend. Circ. Mat. Palermo, II Ser, Issue 1, 2023, ISSN 0009-725X
Publisher: Circolo Matematico di Palermo
DOI: 10.1007/s12215-022-00796-x

Localizations of the category of $A_\infty$ categories and internal Homs

Author(s): Canonaco, Alberto; Ornaghi, Mattia; Stellari, Paolo
Published in: Documenta Mathematica, Issue 1, 2019, ISSN 1431-0635
Publisher: Deutsche Mathematiker-Vereinigung
DOI: 10.48550/arxiv.1811.07830

Derived invariance of the Albanese relative canonical ring

Author(s): Caucci, Federico; Lombardi, Luigi; Pareschi, Giuseppe
Published in: Advances in Mathematics, Issue 1, 2023, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2023.108965

A refined derived Torelli theorem for enriques surfaces, II: the non-generic case

Author(s): Li, Chunyi; Stellari, Paolo; Zhao, Xiaolei
Published in: Mathematiche Zeitschift, Issue 3, 2022, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-021-02930-4

Other (5)

Paracanonical base locus, Albanese morphism, and semi-orthogonal indecomposability of derived categories

Author(s): Caucci, Federico
Published in: ArXiv repository, Issue 5, 2021
Publisher: ArXiv
DOI: 10.48550/arxiv.2110.06795

Irregular fibrations of derived equivalent varieties

Author(s): Caucci, Federico; Lombardi, Luigi
Published in: ArXiv repository, Issue 2, 2022
Publisher: ArXiv
DOI: 10.48550/arxiv.2207.14081

The passage among the subcategories of weakly approximable triangulated categories

Author(s): A. Canonaco, A. Neeman, P. Stellari
Published in: ArXiv Repository, 2024
Publisher: ArXiv

Locally trivial monodromy of moduli spaces of sheaves on K3 surfaces

Author(s): Onorati, Claudio; Perego, Arvid; Rapagnetta, Antonio
Published in: Issue 5, 2023
Publisher: ArXiv
DOI: 10.48550/arxiv.2309.10397

Quadratic differentials as stability conditions: collapsing subsurfaces

Author(s): Barbieri, Anna; Möller, Martin; Qiu, Yu; So, Jeonghoon
Published in: ArXiv, Issue 1, 2022
Publisher: ArXiv repository
DOI: 10.48550/arxiv.2212.08433

Book chapters (3)

Lectures on Non-commutative K3 Surfaces, Bridgeland Stability, and Moduli Spaces

Author(s): Emanuele Macrì, Paolo Stellari
Published in: Birational Geometry of Hypersurfaces - Gargnano del Garda, Italy, 2018, Issue 26, 2019, Page(s) 199-265, ISBN 978-3-030-18637-1
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-18638-8_6

Marked and labelled Gushel-Mukai fourfolds

Author(s): Brakkee, E.; Pertusi, L.; Farkas, G.; van der Geer, G.; Shen, M.; Taelman, L.
Published in: Rationality of Varieties, Issue 1, 2021, ISBN 978-3-030-75421-1
Publisher: Springer
DOI: 10.48550/arxiv.2002.04248

Lectures on non-commutative K3 surfaces, Bridgeland stability, and moduli spaces

Author(s): Macrì, Emanuele; Stellari, Paolo
Published in: Lecture Notes in Mathematics, Issue 3, 2019, ISBN 978-3-030-18638-8
Publisher: Springer
DOI: 10.48550/arxiv.1807.06169