Positivity of line bundles on algebraic surfaces

2018/28/C/ST1/00339

Keywords

Descriptors

  • ST1_4: Geometria algebraiczna i zespolona
  • ST1_2: Algebra
  • HS1_4: Logika, metodologia nauk, filozofia nauki

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)

dr Łucja Farnik

Number of co-investigators in the project: 1

Call

SONATINA 2 – announced on 2017-12-15

Amount awarded
567 492 PLN
Project start date
2018-09-26
Project end date
2024-08-25
Project duration
71 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 (5)

  1. On the unique unexpected quartic in P^2

    Authors:
    Ł. Farnik, F. Galuppi, L. Sodomaco, W. Trok
    Academic press:
    Journal of Algebraic Combinatorics (year: 2021, volume: 53, pages: 131-146), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s10801-019-00922-6 – link to the publication
  2. Seshadri constants on abelian and bielliptic surfaces -- potential values and lower bounds

    Authors:
    Th. Bauer, Ł. Farnik
    Academic press:
    Proceedings of the AMS (year: 2022, volume: 150, pages: 5025-5034), Publisher: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/15893 – link to the publication
  3. Rationality of Seshadri constants on general blow ups of P^2

    Authors:
    Ł. Farnik, K. Hanumanthu, J. Huizenga, D. Schmitz, T. Szemberg
    Academic press:
    J. Pure Appl. Algebra (year: 2020, volume: 224(8), pages: Art. no 106345), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2020.106345 – link to the publication
  4. Geproci sets on skew lines in P^3 with two transversals

    Authors:
    L. Chiantini, P. De Poi, Ł. Farnik, G. Favacchio, B. Harbourne, G. Ilardi, J. Migliore, T. Szemberg, J. Szpond
    Academic press:
    J. Pure Appl. Algebra (year: 2025, volume: 229, pages: Art. No.: 107809), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2024.107809 – link to the publication
  5. A matrixwise approach to unexpected hypersurfaces

    Authors:
    M. Dumnicki, Ł. Farnik, B. Harbourne, G. Malara, J. Szpond, H. Tutaj-Gasińska
    Academic press:
    Lin. Alg and Appl. (year: 2020, volume: 592, pages: 113-133), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2020.01.023 – link to the publication

Articles in post-conference publications (3)

  1. Veneroni Maps

    Authors:
    M. Dumnicki, Ł. Farnik, B. Harbourne, T. Szemberg, H. Tutaj-Gasińska
    Conference:
    NSA 2018: Combinatorial Structures in Algebra and Geometry (year: 2020, pages: 31-42), Publisher: Springer
    Date:
    conference 2018
    Status:
    Published
  2. On the classification of certain geproci sets

    Authors:
    L. Chiantini, Ł. Farnik, G. Favacchio, B. Harbourne, J. Migliore, T. Szemberg, J. Szpond
    Conference:
    The Strong and Weak Lefschetz Properties Workshop (year: 2024, pages: 81-96), Publisher: Springer
    Date:
    conference 12-16.09.2022
    Status:
    Published
  3. Negative curves on special rational surface

    Authors:
    M. Dumnicki, Ł. Farnik, K. Hanumanthu, G. Malara, T. Szemberg, J. Szpond, H. Tutaj-Gasińska
    Conference:
    Analytic and Algebraic Geometry (year: 2019, pages: 67-78), Publisher: Łodź University Press
    Date:
    conference 43836
    Status:
    Published
    DOI:
    link to the publication

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