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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Hyper-Kaehler manifolds

2018/30/E/ST1/00530

Keywords:

Algebraic geometry complex manifolds

Descriptors:

  • ST1_4: Algebraic and complex geometry
  • ST1_2: Algebra
  • ST1_8: Analysis

Panel:

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

Host institution :

Uniwersytet Jagielloński, Wydział Matematyki i Informatyki

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Grzegorz Kapustka 

Number of co-investigators in the project: 5

Call: SONATA BIS 8 - announced on 2018-06-15

Amount awarded: 1 424 744 PLN

Project start date (Y-m-d): 2019-04-25

Project end date (Y-m-d): 2025-04-24

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

Project status: Pending project

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 (17)
  1. Contractions of hyper-Kähler fourfolds and the Brauer group
    Authors:
    Bert van Geemen, Grzegorz Kapustka
    Academic press:
    Advances in Mathematics (rok: 2023, tom: 412, strony: 8814), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2022.108814 - link to the publication
  2. Ulrich Trichotomy on del Pezzo surfaces
    Authors:
    Emre Coskun, Ozhan Genc
    Academic press:
    Advances in Geometry (rok: 2022, ), Wydawca: De Gruyter
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  3. A note on dual abelian varieties
    Authors:
    Aleksandra Borówka, Paweł Borówka
    Academic press:
    Linear Algebra and its Applications , Wydawca: International Linear Algebra Society
    Status:
    Submitted
    DOI:
    brak - link to the publication
  4. On the Morin problem of higher lenght
    Authors:
    G.Kapustka, A.Verra
    Academic press:
    IMRN (rok: 2022, tom: 2022 (1), strony: 46 str), Wydawca: Oxford University press
    Status:
    Published
    DOI:
    10.1093/imrn/rnaa170 - link to the publication
  5. Projective models of Nikulin orbifolds
    Authors:
    Chiara Camere, Alice Garbagnati, Grzegorz Kapustka, Michał Kapustka
    Academic press:
    Algebra Number Theory (rok: 2024, tom: 165-208, strony: 165-208), Wydawca: Mathematical Sciences Publishers
    Status:
    Accepted for publication
    DOI:
    10.2140/ant.2024.18.165 - link to the publication
  6. Symmetric locally free resolutions and rationality problems
    Authors:
    Gilberto Bini, Grzegorz Kapustka, Michał Kapustka
    Academic press:
    Communications in Contemporary Mathematics (rok: 2022, ), Wydawca: World Scientific
    Status:
    Accepted for publication
    DOI:
    10.1142/S021919972250033X - link to the publication
  7. Expansions for Hilbert schemes of points on semistable degenerations
    Authors:
    Calla Tschanz
    Academic press:
    Forum Mathematics Sigma , Wydawca: Cambridge University Press
    Status:
    Submitted
    DOI:
    brak - link to the publication
  8. Instanton Bundles on P^1 × F_1
    Authors:
    Vincenzo Antonelli, Gianfranco Casnati, Ozhan Genc,
    Academic press:
    Communications in Algebra (rok: 2021, tom: 49 (8), strony: 3594-3613), Wydawca: Taylor Francis
    Status:
    Published
    DOI:
    10.1080/00927872.2021.1901291 - link to the publication
  9. Non-simple polarised abelian surfaces
    Authors:
    Robert Auffarth, Paweł Borówka
    Academic press:
    Annali di Matematica Pura ed Applicata , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s10231-023-01415-x - link to the publication
  10. Double EPW-sextics with actions of A7 and irrational GM threefolds
    Authors:
    Simone Billi, Tomasz Wawak
    Academic press:
    Bulletin de la Societe Mathematique de France , Wydawca: Numdam
    Status:
    Submitted
    DOI:
    brak - link to the publication
  11. Quaternary quartic forms and Gorenstein rings
    Authors:
    Grzegorz Kapustka, Michał Kapustka, Kristian Ranestad, Hal Schenck, Mike Stillman, Beihui Yuan
    Academic press:
    Memoirs AMS , Wydawca: American Mathematical Society
    Status:
    Submitted
    DOI:
    brak - link to the publication
  12. Very symmetric hyper-Kähler fourfolds
    Authors:
    Tomasz Wawak
    Academic press:
    Mathematische Nachrichten , Wydawca: Wiley-VCH GmbH
    Status:
    Submitted
    DOI:
    brak - link to the publication
  13. Annales Polonici Mathematici
    Authors:
    Kacper Grzelakowski
    Academic press:
    Number of triple points on complete intersection Calabi–Yau threefolds (rok: 2023, tom: 131, strony: 141-151), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/ap230213-20-8 - link to the publication
  14. Constructions of derived equivalent hyper-Kähler fourfolds
    Authors:
    Grzegorz Kapustka, Michał Kapustka
    Academic press:
    Duke Mathematical Journal , Wydawca: Duke University Press,
    Status:
    Submitted
    DOI:
    brak - link to the publication
  15. EPW sextics vs EPW cubes
    Authors:
    Grzegorz Kapustka, Michał Kapustka, Giovanni Mongardi
    Academic press:
    Annali della Scuola normale superiore di Pisa - Classe di scienze , Wydawca: Numdam
    Status:
    Submitted
    DOI:
    brak - link to the publication
  16. Instanton Bundles on two Fano threefolds of index 1
    Authors:
    Gianfranco Casnati, Ozhan Genc
    Academic press:
    Forum Mathematicum (rok: 2020, tom: 5, strony: 1315-1336), Wydawca: de Gruyter
    Status:
    Published
    DOI:
    10.1515/forum-2019-0189. - link to the publication
  17. Type III contractions and quintic threefolds
    Authors:
    Kacper Grzelakowski
    Academic press:
    International Journal of Mathematics (rok: 2022, tom: Vol 32, strony: ), Wydawca: Elsevier
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication

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