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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Deformations and degenerations of algebraic varieties

2017/26/D/ST1/00913

Keywords:

deformation theory positive characteristic perverse sheaves log geometry Serre-Tate theory

Descriptors:

  • ST1_4: Algebraic and complex geometry
  • ST1_6: Topology

Panel:

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

Host institution :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Piotr Achinger 

Number of co-investigators in the project: 4

Call: SONATA 13 - announced on 2017-06-14

Amount awarded: 452 200 PLN

Project start date (Y-m-d): 2018-04-09

Project end date (Y-m-d): 2022-04-08

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. Komputer stacjonarny (7 000 PLN)

Information in the final report

  • Publication in academic press/journals (7)
  1. Hermitian K-theory via oriented Gorenstein algebras
    Authors:
    Marc Hoyois, Joachim Jelisiejew, Denis Nardin, Maria Yakerson
    Academic press:
    Journal für die reine und angewandte Mathematik , Wydawca: De Gruyter
    Status:
    Submitted
    DOI:
    brak - link to the publication
  2. Betti realization of varieties defined by formal Laurent series
    Authors:
    Piotr Achinger, Mattia Talpo
    Academic press:
    Geometry and Topology (rok: 2021, tom: 25, strony: 1919-1978), Wydawca: MSP
    Status:
    Published
    DOI:
    10.2140/gt.2021.25.1919 - link to the publication
  3. The Hilbert scheme of infinite affine space and algebraic K-theory
    Authors:
    Marc Hoyois, Joachim Jelisiejew, Denis Nardin, Burt Totaro, Maria Yakerson
    Academic press:
    Journal of the European Mathematical Society , Wydawca: EMS Publishing House
    Status:
    Accepted for publication
    DOI:
    10.4171/JEMS/1340 - link to the publication
  4. Global Frobenius Liftability II: Surfaces and Fano Threefolds
    Authors:
    Piotr Achinger, Jakiub Witaszek, Maciej Zdanowicz
    Academic press:
    Annali della Scuola Normale Superiore di Pisa, Classe di Scienze , Wydawca: Scuola Normale Superiore di Pisa
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  5. Pathologies on the Hilbert scheme of points
    Authors:
    Joachim Jelisiejew
    Academic press:
    Inventiones Mathematicae (rok: 2020, tom: 220, strony: 581–610), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00222-019-00939-5 - link to the publication
  6. Serre-Tate theory for Calabi-Yau varieties
    Authors:
    Piotr Achinger i Maciej Zdanowicz
    Academic press:
    Journal für die reine und angewandte Mathematik (rok: 2021, tom: 780, strony: 139-196), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.1515/crelle-2021-0041 - link to the publication
  7. Some refinements of the Deligne–Illusie theorem
    Authors:
    Piotr Achinger, Junecue Suh
    Academic press:
    Algebra and Number Theory , Wydawca: MSP
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication

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