Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Calabi-Yau type manifolds

2018/31/B/ST1/02857

Keywords:

Calabi-Yau manifolds hyperkahler manifolds derived categories motives

Descriptors:

  • ST1_4:

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Michał Kapustka 

Number of co-investigators in the project: 2

Call: OPUS 16 - announced on 2018-09-14

Amount awarded: 418 600 PLN

Project start date (Y-m-d): 2019-06-21

Project end date (Y-m-d): 2024-06-20

Project duration:: 60 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (11)
  1. Lines on K3-quartics via triangular sets
    Authors:
    Alex Degtyarev, Sławomir Rams
    Academic press:
    Discrete and Computational Geometry (rok: 2024, tom: online, strony: 30), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00454-024-00690-6 - link to the publication
  2. The generalized roof F(1,2,n): Hodge structures and derived categories
    Authors:
    Enrico Fatighenti, Michał Kapustka, Giovanni Mongardi, Marco Rampazzo
    Academic press:
    Algebras and Representation Theory (rok: 2022, tom: online, strony: 30), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10468-022-10173-y - link to the publication
  3. Projective models of Nikulin orbifolds
    Authors:
    Chiara Camera, Alice Garabagnati, Grzegorz Kapustka, Michał Kapustka
    Academic press:
    Algebra and Number Theory (rok: 2024, tom: 18(1), strony: 165-208), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/ant.2024.18.165 - link to the publication
  4. On the Hilbert function of Artinian local complete intersections of codimension three
    Authors:
    Joachim Jelisiejew, Shreedevi K. Masuti, Maria Evelina Rossi
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2023, tom: 227(7), strony: 21), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2023.107326 - link to the publication
  5. Constructions of derived equivalent hyper-Kähler fourfolds
    Authors:
    Grzegorz Kapustka, Michał Kapustka
    Academic press:
    Compositio Mathematica , Wydawca: Cambridge University Press
    Status:
    Submitted
    DOI:
    brak - link to the publication
  6. Mukai duality and roofs of projective bundles
    Authors:
    Michał Kapustka, Marco Rampazzo
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2022, tom: 54(2), strony: 694-717), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1112/blms.12597 - link to the publication
  7. Quaternary quartics and Gorenstein rings
    Authors:
    Grzegorz Kapustka, Michał Kapustka, Kristian Ranestad, Henry Schenck, Michael Stillman, Beihui Yuan
    Academic press:
    Memoirs of the American Mathematical Society , Wydawca: American Mathematical Society
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  8. Concise tensors of minimal border rank
    Authors:
    Joachim Jelisiejew, J. M. Landsberg, Arpan Pal
    Academic press:
    Mathematische Annalen (rok: 2023, tom: online, strony: 45), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-023-02569-y - link to the publication
  9. Symmetric locally free resolutions and rationality problems
    Authors:
    Gilberto Bini, Grzegorz Kapustka, Michał Kapustka
    Academic press:
    Communications in Contemporary Mathematics (rok: 2022, tom: online, strony: 35), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S021919972250033X - link to the publication
  10. EPW sextics vs EPW cubes
    Authors:
    Grzegorz Kapustka, Michał Kapustka, Giovanni Mongardi
    Academic press:
    Journal of the London Mathematical Society , Wydawca: Wiley
    Status:
    Submitted
    DOI:
    brak - link to the publication
  11. Even nodal surfaces of K3 type
    Authors:
    Marcello Bernardara, Enrico Fatighenti, Grzegorz Kapustka, Michał Kapustka, Laurent Manivel, Giovanni Mongardi, Fabio Tanturri
    Academic press:
    Selecta Mathematica new series , Wydawca: Birkhauser
    Status:
    Submitted
    DOI:
    brak - link to the publication

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