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Complex contact manifolds and geometry of secants

2017/26/E/ST1/00231

Keywords

Descriptors

  • ST1_4: Geometria algebraiczna i zespolona

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

Voivodeship: 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
2018-08-01
Project end date
2024-07-31
Project duration
72 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.

Information in the final report

Publication in academic press/journals (16)

  1. Projectively and affinely invariant PDEs on hypersurfaces

    Authors:
    Dmitri Alekseevsky, Gianni Manno, Giovanni Moreno
    Academic press:
    Proceedings of the Edinburgh Mathematical Society (year: 2024, volume: 67(3), pages: 714-739), Publisher: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0013091524000233 – link to the publication

  2. Algebraic torus actions on contact manifolds

    Authors:
    Jarosław Buczyński, Jarosław A. Wiśniewski, with Appendix by Andrzej Weber
    Academic press:
    Journal of Differential Geometry (year: 2022, volume: 121(2), pages: 227-289), Publisher: International Press
    Status:
    Published
    DOI:
    10.4310/jdg/1659987892 – link to the publication

  3. Singular Curves of Low Degree and Multifiltrations from Osculating Spaces

    Authors:
    Jarosław Buczyński, Nathan Ilten, Emanuele Ventura
    Academic press:
    International Mathematics Research Notices (year: 2020, volume: 2020 (21), pages: 44), Publisher: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnaa009 – 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 (year: 2020, volume: 199, pages: 1243–1262), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s10231-019-00920-2 – link to the publication

  5. Equations of tensor eigenschemes

    Authors:
    V. Beorchia, F. Galuppi, L. Venturello
    Academic press:
    Mathematics of Computations (year: 2024, volume: 93, pages: 589-602), Publisher: AMS
    Status:
    Published
    DOI:
    10.1090/mcom/3882 – link to the publication

  6. Singular contact varieties

    Authors:
    Robert Śmiech
    Academic press:
    manuscripta mathematica (year: 2024, volume: 175, pages: 117-145), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00229-024-01561-3 – link to the publication

  7. 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 (year: 2024, volume: 29(7/8), pages: 575-654), Publisher: Khayyam Publishing, Inc
    Status:
    Published
    DOI:
    10.57262/ade029-0708-575 – link to the publication

  8. Spectral theory of weighted hypergraphs via tensors

    Authors:
    F. Galuppi, R. Mulas, L. Venturello
    Academic press:
    Linear and Multilinear Algebra (year: 2023, volume: 2,96041666666667, pages: 317-347), Publisher: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/03081087.2022.2030659 – link to the publication

  9. Secant non-defectivity via collisions of fat points

    Authors:
    F. Galuppi, A. Oneto
    Academic press:
    Advances in Mathematics (year: 2022, volume: 409 part B, pages: 58), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2022.108657 – link to the publication

  10. Apolarity, border rank and multigraded Hilbert scheme

    Authors:
    Weronika Buczyńska, Jarosław Buczyński
    Academic press:
    Duke Mathematical Journal (year: 2021, volume: 170(16), pages: 3659-3702), Publisher: Duke University Press
    Status:
    Published
    DOI:
    10.1215/00127094-2021-0048 – link to the publication

  11. Non-Defectivity of Segre–Veronese varieties

    Authors:
    HIROTACHI ABO, MARIA CHIARA BRAMBILLA, FRANCESCO GALUPPI, ALESSANDRO ONETO
    Academic press:
    Proceedings of the American Mathematial Society (series B) (year: 2024, volume: 11, pages: 589–602), Publisher: AMS
    Status:
    Published
    DOI:
    10.1090/bproc/248 – link to the publication

  12. Identifying limits of ideals of points in the case of projective space

    Authors:
    Tomasz Mańdziuk
    Academic press:
    Linear Algebra and its Applications (year: 2022, volume: 634, pages: 149-178), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2021.11.003 – link to the publication

  13. Distinguishing secant from cactus varieties

    Authors:
    Maciej Gałązka, Tomasz Mańdziuk, Filip Rupniewski
    Academic press:
    Foundations of Computational Mathematics (year: 2023, volume: 23, pages: 1167–1214), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s10208-022-09566-8 – link to the publication

  14. Decomposing tensor spaces via path signatures

    Authors:
    Carlos Améndola, Francesco Galuppi, Ángel Ríos, Pierpaola Santarsiero, Tim Seynnaeve
    Academic press:
    Journal of Pure and Applied Algebra (year: 2025, volume: 229 (1), pages: 46041), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2024.107807 – link to the publication

  15. Generic identifiability of pairs of ternary forms

    Authors:
    V. Beorchia, F. Galuppi
    Academic press:
    Collectanea Mathematica (year: 2023, volume: 74, pages: 529-545), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s13348-022-00363-8 – link to the publication

  16. Third-order affine-invariant (systems of) PDEs in two independent variables as vanishing of the Fubini-Pick invariant

    Authors:
    Dmitri Alekseevsky, Gianni Manno, Giovanni Moreno
    Status:
    Accepted for publication

Book publications / chapters in book publications (2)

  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) (year: 2023, volume: 254, pages: 24:1--24:21), Publisher: 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 (year: 2023, volume: ?, pages: 16), Publisher: Springer
    Status:
    Published

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