Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

Complex contact manifolds and geometry of secants

2017/26/E/ST1/00231

Keywords:

contact Fano manifold quaternion-Kaehler manifold secant variety cactus variety tensor rank Waring rank

Descriptors:

  • ST1_4: Algebraic and complex geometry

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 hab. Jarosław Buczyński 

Number of co-investigators in the project: 12

Call: SONATA BIS 7 - announced on 2017-06-14

Amount awarded: 1 891 560 PLN

Project start date (Y-m-d): 2018-08-01

Project end date (Y-m-d): 2024-07-31

Project duration:: 60 months (the same as in the proposal)

Project status: Project completed

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.

Information in the final report

  • Publication in academic press/journals (11)
  • Book publications / chapters in book publications (2)
  1. Algebraic torus actions on contact manifolds
    Authors:
    Jarosław Buczyński, Jarosław A. Wiśniewski, with Appendix by Andrzej Weber
    Academic press:
    Journal of Differential Geometry (rok: 2022, tom: 121(2), strony: 227-289), Wydawca: International Press
    Status:
    Published
    DOI:
    10.4310/jdg/1659987892 - link to the publication
  2. The moment map on the space of symplectic 3d Monge-Ampère equations
    Authors:
    Jan Gutt, Gianni Manno, Giovanni Moreno, Robert Śmiech
    Academic press:
    Adv. Differential Equations (rok: 2024, tom: 29(7/8), strony: 575-654), Wydawca: Khayyam Publishing, Inc
    Status:
    Published
    DOI:
    10.57262/ade029-0708-575 - link to the publication
  3. Spectral theory of weighted hypergraphs via tensors
    Authors:
    F. Galuppi, R. Mulas, L. Venturello
    Academic press:
    Linear and Multilinear Algebra (rok: 2023, tom: 2,96041666666667, strony: 317-347), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/03081087.2022.2030659 - link to the publication
  4. Apolarity, border rank and multigraded Hilbert scheme
    Authors:
    Weronika Buczyńska, Jarosław Buczyński
    Academic press:
    Duke Mathematical Journal (rok: 2021, tom: 170(16), strony: 3659-3702), Wydawca: Duke University Press
    Status:
    Published
    DOI:
    10.1215/00127094-2021-0048 - link to the publication
  5. Equations of tensor eigenschemes
    Authors:
    V. Beorchia, F. Galuppi, L. Venturello
    Academic press:
    Mathematics of Computations (rok: 2024, tom: 93, strony: 589-602), Wydawca: AMS
    Status:
    Published
    DOI:
    10.1090/mcom/3882 - link to the publication
  6. Identifying limits of ideals of points in the case of projective space
    Authors:
    Tomasz Mańdziuk
    Academic press:
    Linear Algebra and its Applications (rok: 2022, tom: 634, strony: 149-178), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2021.11.003 - link to the publication
  7. Quaternion-Kähler manifolds near maximal fixed point sets of S1 -symmetries
    Authors:
    Aleksandra Borówka
    Academic press:
    Annali di Matematica Pura ed Applicata (rok: 2019, tom: ---, strony: 20), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10231-019-00920-2 - link to the publication
  8. Secant non-defectivity via collisions of fat points
    Authors:
    F. Galuppi, A. Oneto
    Academic press:
    Advances in Mathematics (rok: 2022, tom: 409 part B, strony: ??), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2022.108657 - link to the publication
  9. Singular Curves of Low Degree and Multifiltrations from Osculating Spaces
    Authors:
    Jarosław Buczyński, Nathan Ilten, Emanuele Ventura
    Academic press:
    International Mathematics Research Notices (rok: 2020, tom: on-line first, strony: 44), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnaa009 - link to the publication
  10. Distinguishing secant from cactus varieties
    Authors:
    Maciej Gałązka, Tomasz Mańdziuk, Filip Rupniewski
    Academic press:
    Foundations of Computational Mathematics (rok: 2022, tom: ?, strony: 48), Wydawca: .
    Status:
    Published
    DOI:
    10.1007/s10208-022-09566-8 - link to the publication
  11. Generic identifiability of pairs of ternary forms
    Authors:
    V. Beorchia, F. Galuppi
    Academic press:
    Collectanea Mathematica (rok: 2023, tom: 74, strony: 529-545), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13348-022-00363-8 - link to the publication
  1. On Rational Recursive Sequences
    Authors:
    Clemente, Lorenzo and Donten-Bury, Maria and Mazowiecki, Filip and Pilipczuk, Michał
    Book:
    40th International Symposium on Theoretical Aspects of Computer Science (STACS 2023) (rok: 2023, tom: 254, strony: 24:1--24:21), Wydawca: Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik
    Status:
    Published
    DOI:
    link to the publication
  2. Toric Sarkisov Links of Toric Fano Varieties
    Authors:
    Gavin Brown, Jarosław Buczyński, Alexander Kasprzyk
    Book:
    Birational Geometry, Kähler-Einstein Metrics and Degenerations (rok: 2023, tom: ?, strony: 16), Wydawca: Springer
    Status:
    Published
    DOI:
    link to the publication

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy