Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

Arithmetical properties of higher dimensional Calabi-Yau manifolds

2019/33/N/ST1/01502

Keywords:

Calabi-Yau manifolds modularity crepant resolution of singularities

Descriptors:

  • ST1_004:
  • ST1_003:

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):

Dominik Burek 

Number of co-investigators in the project: 2

Call: PRELUDIUM 17 - announced on 2019-03-15

Amount awarded: 165 200 PLN

Project start date (Y-m-d): 2020-02-20

Project end date (Y-m-d): 2023-10-19

Project duration:: 44 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 (3)
  1. Zeta functions of some Kummer 3-folds
    Authors:
    Dominik Burek
    Academic press:
    Manuscripta Mathematica (rok: 2023, tom: -, strony: -), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00229-023-01524-0 - link to the publication
  2. Zeta functions of some Kummer 3-folds
    Authors:
    Dominik Burek
    Academic press:
    Manuscripta Mathematica (rok: 2023, tom: -, strony: -), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00229-023-01524-0 - link to the publication
  3. Higher dimensional analogon of Borcea-Voisin Calabi-Yau manifolds, their Hodge numbers and $L$-functions
    Authors:
    Dominik Burek
    Status:
    Accepted for publication