Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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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: Pending project

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. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  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

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