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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Ogus-Vologodsky correspondance for singular varieties

2014/13/N/ST1/02673

Keywords:

characteristic p Higgs fields Cartier operators singularities cotangent complex

Descriptors:

  • ST1_4: Algebraic and complex geometry
  • 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 Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

Maciej Zdanowicz 

Number of co-investigators in the project: 2

Call: PRELUDIUM 7 - announced on 2014-03-17

Amount awarded: 87 135 PLN

Project start date (Y-m-d): 2015-02-05

Project end date (Y-m-d): 2017-02-04

Project duration:: 24 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Laptop (3 999 PLN)

Information in the final report

  • Publication in academic press/journals (3)
  1. Liftability of singularities and their Frobenius morphism modulo $p^2$
    Authors:
    Maciej Zdanowicz
    Academic press:
    International Mathematics Research Notices (rok: 2018, tom: 14, strony: 4513–4577), Wydawca: Oxford Journals
    Status:
    Published
    DOI:
    10.1093/imrn/rnw297 - link to the publication
  2. Some elementary examples of non-liftable varieties
    Authors:
    Piotr Achinger, Maciej Zdanowicz
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2017, tom: 145, strony: 4717-4729), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/13622 - link to the publication
  3. Liftability of the Frobenius morphism and images of toric varieties
    Authors:
    Piotr Achinger, Jakub Witaszek, Maciej Zdanowicz
    Academic press:
    Journal of European Mathematical Society , Wydawca: European Mathematical Society
    Status:
    Submitted