Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

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Generalizations and applications of Bialynicki-Birula decomposition

2020/39/D/ST1/00132

Keywords:

algebraic group actions Bialynicki-Birula decomposition moduli spaces

Descriptors:

  • ST1_004:

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):

dr Joachim Jelisiejew 

Number of co-investigators in the project: 4

Call: SONATA 16 - announced on 2020-09-15

Amount awarded: 228 240 PLN

Project start date (Y-m-d): 2021-09-01

Project end date (Y-m-d): 2024-08-31

Project duration:: 36 months (the same as in the proposal)

Project status: Project completed

Project description

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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 (8)
  • Book publications / chapters in book publications (1)
  1. The variety of polar simplices II
    Authors:
    Joachim Jelisiejew, Kristian Ranestad, Frank-Olaf Schreyer
    Academic press:
    Experimental Mathematics (rok: 2024, ), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/10586458.2024.2343846 - link to the publication
  2. On the Hilbert function of Artinian local complete intersections of codimension three
    Authors:
    Joachim Jelisiejew, Shreedevi Masuti, Maria Evelina Rossi
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2023, tom: 277, strony: 107326), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2023.107326 - link to the publication
  3. Generically nonreduced components of Hilbert schemes on fourfolds
    Authors:
    Joachim Jelisiejew
    Academic press:
    Rendiconti del seminario matematico di Torino (rok: 2025, tom: 82, strony: 171-184), Wydawca: Univ. Politec. Torino
    Status:
    Published
  4. Nakajima's creation operators and the Kirwan map
    Authors:
    Jakub Koncki, Magdalena Zielenkiewicz
    Academic press:
    Transformation Groups (rok: 2025, tom: --, strony: --), Wydawca: --
    Status:
    Published
    DOI:
    10.48550/arxiv.2304.07241 - link to the publication
  5. Hilbert-burch matrices and explicit torus-stable families of finite subschemes of A2
    Authors:
    Piotr Oszer
    Status:
    Accepted for publication
  6. Limits of saturated ideals
    Authors:
    Joachim Jelisiejew, Tomasz Mańdziuk
    Status:
    Accepted for publication
  7. Behrend's function is not constant on Hilbn(C3)
    Authors:
    Martijn Kool, Joachim Jelisiejew, and Reinier F. Schmiermann
    Status:
    Accepted for publication
  8. On construction of k-regular maps to Grassmannians via algebras of socle dimension two
    Authors:
    Joachim Jelisiejew
    Status:
    Accepted for publication
  1. Open problems in deformations of Artinian algebras, Hilbert schemes and around
    Authors:
    Joachim Jelisiejew
    Book:
    Deformation of Artinian Algebras and Jordan Type (rok: 2024, tom: 805, strony: 46106), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/conm/805 - link to the publication