Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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

2019/35/B/ST1/00723

Keywords:

diophantine approximation Seshadri constants Waldschmidt constants cones of divisors subgeneral position subspace theorem

Descriptors:

  • ST1_2: Algebra
  • 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 :

Uniwersytet Komisji Edukacji Narodowej w Krakowie

woj.

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 (Y-m-d): 2020-06-10

Project end date (Y-m-d): 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 (20)
  • Articles in post-conference publications (1)
  1. 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 (rok: 2022, tom: 226, strony: 107055), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2022.107055 - 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 (rok: 2022, tom: 226, strony: 107055), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2022.107055 - link to the publication
  3. On 3-syzygy and unexpected plane curves
    Authors:
    Grzegorz Malara, Piotr Pokora, Halszka Tutaj-Gasińska
    Academic press:
    Geometriae Dedicata (rok: 2021, tom: 214, strony: 49-63), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10711-021-00602-5 - link to the publication
  4. Geproci sets and the combinatorics of skew lines in P3
    Authors:
    Luca Chiantini, Łucja Farnik, Giuseppe Favacchio, Brian Harbourne, Juan Migliore, Tomasz Szemberg, Justyna Szpond
    Academic press:
    Transactions of the American Mathematical Society (rok: 2024, tom: brak danych, strony: brak danych), Wydawca: Amerykańskie Towarzystwo Matematyczne
    Status:
    Submitted
  5. On 3-syzygy and unexpected plane curves
    Authors:
    Grzegorz Malara, Piotr Pokora, Halszka Tutaj-Gasińska
    Academic press:
    Geometriae Dedicata (rok: 2021, tom: 214, strony: 49-63), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10711-021-00602-5 - link to the publication
  6. Line arrangements with many triple points
    Authors:
    Lukas Kuehne, Tomasz Szemberg, Haszka Tutaj-Gasińska
    Academic press:
    Rendiconti del Circolo Matematico di Palermo Series 2 (rok: 2024, tom: brak danych, strony: brak danych), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s12215-024-01047-x - link to the publication
  7. On 3-syzygy and unexpected plane curves
    Authors:
    Grzegorz Malara, Piotr Pokora, Halszka Tutaj-Gasińska
    Academic press:
    Geometriae Dedicata (rok: 2021, tom: 214, strony: 49-63), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10711-021-00602-5 - link to the publication
  8. Unexpected properties of the Klein configuration of 60 points in P3
    Authors:
    Piotr Pokora, Tomasz Szemberg, Justyna Szpond
    Academic press:
    Michigan Mathematical Journal
    Status:
    Accepted for publication
  9. Sextactic points on the Fermat cubic curve and arrangements of conics
    Authors:
    Tomasz Szemberg, Justyna Szpond
    Academic press:
    J. Symb. Comput. (rok: 2022, tom: brak danych, strony: brak danych), Wydawca: Elsevier
    Status:
    Submitted
  10. On unexpected curves of type (d+k,d)
    Authors:
    Grzegorz Malara, Halszka Tutaj-Gasińska
    Academic press:
    Annales de l'institute Fourier
    Status:
    Submitted
  11. On unexpected curves of type (d+k,d)
    Authors:
    Grzegorz Malara, Halszka Tutaj-Gasińska
    Academic press:
    Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (rok: 2024, tom: brak danych, strony: brak danych), Wydawca: Scuola Normale Superiore
    Status:
    Accepted for publication
    DOI:
    10.2422/2036-2145.202309_026 - link to the publication
  12. Configurations of points in projective space and their projections
    Authors:
    Luca Chiantini, Łucja Farnik, Giuseppe Favacchio, Brian Harbourne, Juan Migliore, Tomasz Szemberg, Justyna Szpond
    Academic press:
    Selecta Math. (rok: 2022, tom: brak danych, strony: brak danych), Wydawca: Springer
    Status:
    Submitted
  13. 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 (rok: 2022, tom: 226, strony: 107055), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2022.107055 - link to the publication
  14. Geproci sets on skew lines in P3 with two transversals
    Authors:
    Luca Chiantini, Pietro De Poi, Lucja Farnik, Giuseppe Favacchio, Brian Harbourne, Giovanna Ilardi, Juan Migliore, Tomasz Szemberg, Justyna Szpond
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2024, tom: brak danych, strony: brak danych), Wydawca: Elsevier
    Status:
    Submitted
  15. Waldschmidt constants in projective spaces
    Authors:
    Marcin Dumnicki, Tomasz Szemberg, Justyna Szpond
    Academic press:
    Journal of Algebra (rok: 2024, tom: 639, strony: 45679), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.017 - link to the publication
  16. Configurations of points in projective space and their projections
    Authors:
    Luca Chiantini, Łucja Farnik, Giuseppe Favacchio, Brian Harbourne, Juan Migliore, Tomasz Szemberg, Justyna Szpond
    Academic press:
    Selecta Math. (rok: 2022, tom: brak danych, strony: brak danych), Wydawca: Springer
    Status:
    Submitted
  17. Sextactic points on the Fermat cubic curve and arrangements of conics
    Authors:
    Tomasz Szemberg, Justyna Szpond
    Academic press:
    J. Symb. Comput. (rok: 2024, tom: 120, strony: Paper No. 102228, 8 pp.), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jsc.2023.102228 - link to the publication
  18. Unexpected properties of the Klein configuration of 60 points in P3
    Authors:
    Piotr Pokora, Tomasz Szemberg, Justyna Szpond
    Academic press:
    Michigan Mathematical Journal (rok: 2023, tom: Early View, strony: brak danych), Wydawca: Department of Mathematics at the University of Michigan
    Status:
    Published
    DOI:
    10.1307/mmj/20216141 - link to the publication
  19. Unexpected properties of the Klein configuration of 60 points in P3
    Authors:
    Piotr Pokora, Tomasz Szemberg, Justyna Szpond
    Academic press:
    Michigan Mathematical Journal
    Status:
    Accepted for publication
  20. On unexpected curves of type (d+k,d)
    Authors:
    Grzegorz Malara, Halszka Tutaj-Gasińska
    Academic press:
    Annales de l'institute Fourier
    Status:
    Submitted
  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 (rok: 2024, tom: Lefschetz Properties: Current and New Directions, strony: 10.1007/978-981-97-3886-1_4), Wydawca: Springer
    Data:
    konferencja 11-17 września 2022
    Status:
    Accepted for publication
    DOI:
    10.1007/978-981-97-3886-1_4 - link to the publication

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