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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Positivity of line bundles on algebraic surfaces

2018/28/C/ST1/00339

Keywords:

SHGH conjecture Nagata's conjecture cones of divisors Seshadri constants

Descriptors:

  • ST1_4: Algebraic and complex geometry
  • ST1_2: Algebra
  • HS1_4: Logic, science methodology, philosophy of science

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. 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 (Y-m-d): 2018-09-26

Project end date (Y-m-d): 2024-08-25

Project duration:: 36 months (the same as in the proposal)

Project status: Project completed

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)
  • Articles in post-conference publications (2)
  1. On the classification of certain geproci sets
    Authors:
    L. Chiantini, Ł. Farnik, G. Favacchio, B. Harbourne, J. Migliore, T. Szemberg, J. Szpond
    Academic press:
    Lefschetz Properties: Current and New Directions (tentative) (rok: 2024, ), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    brak - 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 (rok: 2022, tom: 150, strony: 5025-5034), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/15893 - link to the publication
  3. On the unique unexpected quartic in P^2
    Authors:
    Ł. Farnik, F. Galuppi, L. Sodomaco, W. Trok
    Academic press:
    Journal of Algebraic Combinatorics (rok: 2021, tom: 53, strony: 131-146), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10801-019-00922-6 - link to the publication
  4. 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 (rok: 2020, tom: 224(8), strony: Art. no 106345), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2020.106345 - 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. (rok: 2020, tom: 592, strony: 113-133), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2020.01.023 - link to the publication
  1. 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 (rok: 2019, ), Wydawca: Łodź University Press
    Data:
    konferencja 43836
    Status:
    Published
    DOI:
    link to the publication
  2. Veneroni Maps
    Authors:
    M. Dumnicki, Ł. Farnik, B. Harbourne, T. Szemberg, H. Tutaj-Gasińska
    Conference:
    NSA 2018: Combinatorial Structures in Algebra and Geometry (rok: 2020, ), Wydawca: Springer
    Data:
    konferencja 2018
    Status:
    Published

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