Arithmetic and geometric approach to asymptotic invariants in algebra and algebraic geometry

2019/35/B/ST1/00723

Keywords

Descriptors

  • ST1_002: Algebra
  • ST1_004: 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

Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie

Voivodeship: małopolskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Tomasz Jacek Szemberg

Number of co-investigators in the project: 3

Call

OPUS 18 – announced on 2019-09-16

Amount awarded
324 000 PLN
Project start date
2020-06-10
Project end date
2024-04-09
Project duration
46 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 (7)

  1. On 3-syzygy and unexpected plane curves

    Authors:
    Grzegorz Malara, Piotr Pokora, Halszka Tutaj-Gasińska
    Academic press:
    Geometriae Dedicata (year: 2021, volume: 214, pages: 49-63), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s10711-021-00602-5 – link to the publication
  2. Companion varieties for root systems and Fermat arrangements

    Authors:
    Roberta Di Gennaro, Giovanna Ilardi, Rosa Maria Miro-Roig, Tomasz Szemberg, Justyna Szpond
    Academic press:
    Journal of Pure and Applied Algebra (year: 2022, volume: 226, pages: 107055), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2022.107055 – link to the publication
  3. Waldschmidt constants in projective spaces

    Authors:
    Marcin Dumnicki, Tomasz Szemberg, Justyna Szpond
    Academic press:
    Journal of Algebra (year: 2024, volume: 639, pages: 46044), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2023.10.017 – link to the publication
  4. Sextactic points on the Fermat cubic curve and arrangements of conics

    Authors:
    Tomasz Szemberg, Justyna Szpond
    Academic press:
    J. Symb. Comput. (year: 2024, volume: 120, pages: Paper No. 102228, 8 pp.), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jsc.2023.102228 – link to the publication
  5. Unexpected properties of the Klein configuration of 60 points in P3

    Authors:
    Piotr Pokora, Tomasz Szemberg, Justyna Szpond
    Academic press:
    Michigan Mathematical Journal (year: 2023, volume: Early View, pages: brak danych), Publisher: Department of Mathematics at the University of Michigan
    Status:
    Published
    DOI:
    10.1307/mmj/20216141 – link to the publication
  6. Line arrangements with many triple points

    Authors:
    Lukas Kuehne, Tomasz Szemberg, Haszka Tutaj-Gasińska
    Status:
    Accepted for publication
  7. On unexpected curves of type (d+k,d)

    Authors:
    Grzegorz Malara, Halszka Tutaj-Gasińska
    Status:
    Accepted for publication

Articles in post-conference publications (1)

  1. On the classification of certain geproci sets

    Authors:
    Luca Chiantini, Lucja Farnik, Giuseppe Favacchio, Brian Harbourne, Juan Migliore, Tomasz Szemberg, Justyna Szpond
    Conference:
    Lefschetz Properties: Current and New Directions (year: 2024, volume: Lefschetz Properties: Current and New Directions, pages: 10.1007/978-981-97-3886-1_4), Publisher: Springer
    Status:
    Accepted for publication

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Graphic design and implementation: Jakub Piotrowski