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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Abelian varieties and Galois actions

2018/31/B/ST1/01474

Keywords:

abelian variety Galois representation

Descriptors:

  • ST1_4: Algebraic and complex geometry
  • ST1_2: Algebra
  • ST1_3: Number theory

Panel:

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

Host institution :

Uniwersytet im. Adama Mickiewicza w Poznaniu, Wydział Matematyki i Informatyki

woj. wielkopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Wojciech Gajda 

Number of co-investigators in the project: 3

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

Amount awarded: 287 000 PLN

Project start date (Y-m-d): 2019-07-05

Project end date (Y-m-d): 2023-07-04

Project duration:: 48 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.

Equipment purchased [PL]

  1. laptop komputer (7 000 PLN)

Information in the final report

  • Publication in academic press/journals (3)
  • Book publications / chapters in book publications (1)
  1. RAMIFIED COVERS OF ABELIAN VARIETIES OVER TORSION FIELDS
    Authors:
    Bary Lior-Soroker, Arno Fiehm, Sebastian Petersen
    Academic press:
    Journal fur die reine und angewandete Mathematik (rok: 2023, tom: 805, strony: 185-211), Wydawca: de Gruyter
    Status:
    Published
  2. LOCAL TO GLOBAL PRICIPLES FOR HOMORPHISMS OF ABELIAN SCHEMES
    Authors:
    Wojciech Gajda, Sebastian Petersen
    Academic press:
    Israel Journal of Mathematics (rok: 2023, tom: 257, strony: 281-312), Wydawca: Israel Math. Society
    Status:
    Published
    DOI:
    10.1007/s11856-023-2542-4 - link to the publication
  3. REMARKS ON A THEOREM OF PINK IN PRESENCE OF BAD REDUCTION
    Authors:
    Wojciech Gajda, Marc Hindry
    Academic press:
    the Bulletin of London Mathematical Society (rok: 2023, tom: bd., strony: 8), Wydawca: London Math Society
    Status:
    Submitted
  1. Ranks of abelian varieties and the full Mordell-Lang conjecture in dimension one.
    Authors:
    Arno Fehm, Sebastian Petersen
    Book:
    Abelian varieties and Number Theory, Contemporary Math. Series of the AMS (rok: 2021, tom: 737, strony: 13-24), Wydawca: American Mathematical Society
    Status:
    Published