Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Varieties with trivial first Chern class

2013/10/E/ST1/00688

Keywords:

Calabi--Yau threefolds mirror symmetry

Descriptors:

  • ST1_4: Algebraic and complex geometry
  • ST1_12: Mathematical methods of physics
  • ST1_2: Algebra

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. Michał Kapustka 

Number of co-investigators in the project: 4

Call: SONATA BIS 3 - announced on 2013-06-14

Amount awarded: 766 400 PLN

Project start date (Y-m-d): 2014-05-14

Project end date (Y-m-d): 2020-05-13

Project duration:: 72 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Laptop (3 szt.) (15 000 PLN)
  2. Drukarka wielofunkcjyna.

Information in the final report

  • Publication in academic press/journals (13)
  1. Arithmetically Gorenstein Calabi-Yau threefolds in P^7
    Authors:
    Stephen Coughlan, Łukasz Gołębiowski, Grzegorz Kapustka, Michał Kapustka
    Academic press:
    ELECTRONIC RESEARCH ANNOUNCEMENTS (rok: 2016, tom: 23, strony: 52-68), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/era.2016.23.006 - link to the publication
  2. Torelli problem for Calabi-Yau threefolds with GLSM description
    Authors:
    Michał Kapustka, Marco Rampazzo
    Academic press:
    Communications in Number Theory and Physics (rok: 2019, tom: 13 (4), strony: 725-761), Wydawca: International Press
    Status:
    Published
    DOI:
    10.4310/CNTP.2019.v13.n4.a2 - link to the publication
  3. Density of Noether-Lefschetz loci of polarized irreducible holomorphic symplectic varieties and applications
    Authors:
    Giovanni Mongardi, Gianluca Pacienza
    Academic press:
    Kyoto Journal of Mathematics , Wydawca: Duke University Press
    Status:
    Submitted
    DOI:
    brak - link to the publication
  4. Curve classes on irreducible holomorphic symplectic varieties
    Authors:
    Giovanni Mongardi, John Christian Otten
    Academic press:
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS (rok: 2020, tom: 22(7), strony: 15 stron), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219199719500780 - link to the publication
  5. Equivalence of K3 surfaces from Verra threefolds
    Authors:
    Grzegorz Kapustka, Michał Kapustka, Riccardo Moschetti
    Academic press:
    Kyoto Journal of Mathematics (rok: 2020, tom: 60 no.4, strony: 1209-1226), Wydawca: Duke University Press
    Status:
    Published
    DOI:
    10.1215/21562261-2019-0059 - link to the publication
  6. Hyperkähler fourfolds and Kummer surfaces
    Authors:
    Atanas Iliev, Grzegorz Kapustka, Michał Kapustka, Kristian Ranestad
    Academic press:
    Proceedings of the London Mathematical Society (rok: 2017, tom: 115, strony: 1276-1316), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/plms.12063 - link to the publication
  7. Elementary components of Hilbert schemes of points
    Authors:
    Joachim Jelisiejew
    Academic press:
    Journal of the London Mathematical Society (rok: 2019, tom: 100, strony: 249-272), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1112/jlms.12212 - link to the publication
  8. Smoothable zero dimensional schemes and special projections of algebraic varieties
    Authors:
    Grzegorz Kapustka, Michał Kapustka, Joachim Jelisiejew
    Academic press:
    Mathematische Nachrichten (rok: 2019, tom: 292, strony: 2018-2027), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mana.201800327 - link to the publication
  9. Verra fourfolds, twisted sheaves and the last involutions
    Authors:
    Chiara Camere, Grzegorz Kapustka, Michał Kapustka, Giovanni Mongardi
    Academic press:
    International Mathematical Research Notices (rok: 2019, tom: 2019 (21), strony: 6499–6528), Wydawca: Oxford Academic
    Status:
    Published
    DOI:
    10.1093/imrn/rnx327 - link to the publication
  10. A very special EPW sextic and two IHS fourfolds
    Authors:
    Maria Donten-Bury, Bert van Geemen, Grzegorz Kapustka, Michał Kapustka, Jarosław A. Wiśniewski
    Academic press:
    Geometry and Topology (rok: 2017, tom: 21-2, strony: 1179-1230), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/gt.2017.21.1179 - link to the publication
  11. EPW cubes
    Authors:
    Atanas Iliev, Grzegorz Kapustka, Michał Kapustka, Kristian Ranestad
    Academic press:
    Journal für die reine und angewandte Mathematik (rok: 2019, tom: 748, strony: 241-268), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.1515/crelle-2016-0044 - link to the publication
  12. Jordan-Hölder composition series of regular (a, b)-modules
    Authors:
    Piotr Karwasz
    Academic press:
    Annales Polonici Mathematici (rok: 2017, tom: 120, strony: 261-270), Wydawca: Instytut Matematyczny Polskiej Akademii Nauk
    Status:
    Published
    DOI:
    10.4064/ap4096-11-2017 - link to the publication
  13. On the Boucksom-Zariski decomposition for irreducible symplectic varieties and bounded negativity
    Authors:
    Michał Kapustka, Giovanni Mongardi, Piotr Pokora, Gianluca Pacienza
    Academic press:
    bd , Wydawca: bd
    Status:
    Submitted
    DOI:
    brak - link to the publication

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