Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

Algebraic Torus Actions: Geometry and Combinatorics

2016/23/G/ST1/04282

Keywords:

algebraic varieties algebraic group actions

Descriptors:

  • ST1_4: Algebraic and complex geometry
  • ST1_2: Algebra
  • ST1_14: Discrete mathematics and combinatorics

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):

prof. Jarosław Wiśniewski 

Number of co-investigators in the project: 4

Call: BEETHOVEN 2 - announced on 2016-09-15

Amount awarded: 895 921 PLN

Project start date (Y-m-d): 2018-01-03

Project end date (Y-m-d): 2023-01-02

Project duration:: 60 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 (2 szt.) (10 000 PLN)
  2. skaner przenośny.
  3. tablet graficzny (ekran piórkowy).
  4. notebook (4 szt.) (24 000 PLN)

Information in the final report

  • Publication in academic press/journals (18)
  • Book publications / chapters in book publications (1)
  1. Adjunction theory for varieties with a C* action
    Authors:
    Eleonora A. Romano, Jarosław A. Wiśniewski
    Academic press:
    Transformation Groups (rok: 2020, tom: online, strony: 38 str.), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00031-020-09627-8 - link to the publication
  2. High rank torus actions on contact manifolds
    Authors:
    Gianluca Occhetta, Eleonora A. Romano, Luis E. Sola Conde, Jarosław A. Wiśniewski
    Academic press:
    Selecta Mathematica (rok: 2021, tom: online, strony: 28 str.), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00029-021-00621-w - link to the publication
  3. Maximum Likelihood degree, complete quadrics and C* actions
    Authors:
    Mateusz Michałek, Leonid Monin, Jarosław Wiśniewski
    Academic press:
    SIAM Journal of Applied Algebra and Geometry (rok: 2021, tom: 5, strony: 60-85), Wydawca: Soiety for. Industrial and Applied Mathematics
    Status:
    Published
    DOI:
    10.1137/20M1335960 - link to the publication
  4. Small bandwidth C∗-actions and birational geometry
    Authors:
    Gianluca Occhetta, Eleonora A. Romano, Luis E. Sola Conde, Jarosław A. Wiśniewski
    Academic press:
    Journal of Algebraic Geometry (rok: 2023, tom: 32, strony: 20821), Wydawca: American Math. Soc.
    Status:
    Published
    DOI:
    10.1090/jag/808 - link to the publication
  5. Characteristic classes of Borel orbits of square-zero upper-triangular matrices
    Authors:
    Piotr Rudnicki, Andrzej Weber
    Academic press:
    Journal of Algebra (rok: 2022, tom: 598, strony: 351-384), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2022.01.031 - link to the publication
  6. Elliptic classes of Schubert varieties
    Authors:
    Shrawan Kumar, Richárd Rimányi & Andrzej Weber
    Academic press:
    Mathematische Annalen (rok: 2020, tom: 378, strony: 703 - 728), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-020-02043-z - link to the publication
  7. Elliptic classes of Schubert varieties via Bott–Samelson resolution
    Authors:
    Richárd Rimányi, Andrzej Weber
    Academic press:
    Journal of Topology (rok: 2020, tom: 13, strony: 1139-1182), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/topo.12152 - link to the publication
  8. Elliptic classes, McKay correspondence and theta identities
    Authors:
    Małgorzata Mikosz, Andrzej Weber
    Academic press:
    Journal of Algebraic Combinatorics (rok: 2021, tom: 53, strony: 701-727), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10801-020-00938-3 - link to the publication
  9. Motivic Chern classes of configuration spaces
    Authors:
    Jakub Koncki
    Academic press:
    Fundamenta Mathematicae (rok: 2021, tom: 254, strony: 155-180), Wydawca: IMPAN
    Status:
    Published
    DOI:
    0.4064/fm840-11-2020 - link to the publication
  10. Twisted motivic Chern class and stable envelopes
    Authors:
    Jakub Koncki, Andrzej Weber
    Academic press:
    Advances in Mathematics (rok: 2022, tom: 404, strony: 35 str.), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2022.108374 - link to the publication
  11. Comparison of motivic Chern classes and stable envelopes for cotangent bundles
    Authors:
    Jakub Koncki
    Academic press:
    Journal of Topology (rok: 2022, tom: 15, strony: 168-203), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1112/topo.12214 - link to the publication
  12. Elliptic classes on Langlands dual flag varieties
    Authors:
    Richard Rimanyi, Andrzej Weber
    Academic press:
    Communications in Contemporary Mathematics (rok: 2022, tom: 24, strony: 15), Wydawca: World Scientific Publi. Co.
    Status:
    Published
    DOI:
    10.1142/S021919972150014 - link to the publication
  13. Small modifications of Mori dream spaces arising from C∗-actions
    Authors:
    Gianluca Occhetta, Eleonora A. Romano, Luis E. Sola Conde, Jarosław A. Wiśniewski
    Academic press:
    European Journal of Mathematics (rok: 2022, tom: 8, strony: 1072-1104), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s40879-022-00540-w - link to the publication
  14. A note on flatness of some fiber type contractions
    Authors:
    Eleonora Romano
    Academic press:
    Proceedings of the Japan Academy Ser. A (rok: 2019, tom: 95, strony: 103-106), Wydawca: Japan Academy
    Status:
    Published
    DOI:
    10.3792/pjaa.95.103 - link to the publication
  15. Manifolds with two projective bundle structures
    Authors:
    Gianluca Occhetta, Eleonora A. Romano, Luis E. Sola Conde
    Academic press:
    Proceedings of the American Math. Soc. (rok: 2022, tom: 150, strony: 1381-1395), Wydawca: American Math. Soc.
    Status:
    Published
    DOI:
    10.1090/proc/15762 - link to the publication
  16. Motivic Chern classes and K-theoretic stable envelopes
    Authors:
    László M. Fehér, Richárd Rimányi, Andrzej Weber
    Academic press:
    Proceedings of the London Mathematical Society (rok: 2021, tom: 122, strony: 153-189), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/plms.12374 - link to the publication
  17. A characterization of some Fano 4-folds through conic fibrations
    Authors:
    Pedro Montero, Eleonora Romano
    Academic press:
    International Mathematics Research Notices (rok: 2019, tom: on-line, strony: 28 str.), Wydawca: Oxford Academic
    Status:
    Published
    DOI:
    10.1093/imrn/rnz244 - link to the publication
  18. Algebraic torus actions on contact manifolds
    Authors:
    Jarosław Buczyński, Andrzej Weber, Jarosław Wiśniewski
    Academic press:
    Journal of Differential Geometry (rok: 2022, tom: 121, strony: 227-289), Wydawca: International Press, Boston
    Status:
    Published
    DOI:
    10.4310/jdg/1659987892 - link to the publication
  1. Characteristic Classes of Orbit Stratifications, the Axiomatic Approach
    Authors:
    László M. Fehér, Richárd Rimányi, Andrzej Weber
    Book:
    Schubert Calculus and Its Applications in Combinatorics and Representation Theory (rok: 2020, tom: 332, strony: 223-249), Wydawca: Springer Proceedings in Mathematics & Statistics
    Status:
    Published