Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Singular curves on algebraic surfaces

2018/31/D/ST1/00177

Keywords:

algebraic surfaces curves singularities curve arrangements free fivisors

Descriptors:

  • ST1_4: Algebraic and complex geometry
  • ST1_14: Discrete mathematics and combinatorics
  • ST1_2: Algebra

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

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Piotr Pokora 

Number of co-investigators in the project: 3

Call: SONATA 14 - announced on 2018-09-14

Amount awarded: 428 400 PLN

Project start date (Y-m-d): 2019-10-01

Project end date (Y-m-d): 2023-05-31

Project duration:: 44 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.

Equipment purchased [PL]

  1. Zakup komputera All-In-One HP.
  2. Zakup komputera All-In-One Dell.
  3. Zakup iPADa.

Information in the final report

  • Publication in academic press/journals (17)
  • Book publications / chapters in book publications (1)
  1. Maximizing curves viewed as free curves
    Authors:
    Alexandru Dimca, Piotr Pokora
    Academic press:
    International Mathematics Research Notices (rok: 2023, tom: Early View, strony: 28 pages), Wydawca: Oxford Academic
    Status:
    Published
    DOI:
    10.1093/imrn/rnad042 - link to the publication
  2. On submaximal curves curves in fake projective planes
    Authors:
    Piotr Pokora, Halszka Tutaj-Gasińska
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2021, tom: 225(10), strony: ID 106709 : 9 pages), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2021.106709 - link to the publication
  3. Q-conic arrangements in the complex projective plane
    Authors:
    Piotr Pokora
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2023, tom: 151(7), strony: 2873 - 2880), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/16376 - link to the publication
  4. Some special triple covers of algebraic surfaces
    Authors:
    Nicolina Istrati, Piotr Pokora, Soenke Rollenske
    Academic press:
    Documenta Mathematica (rok: 2022, tom: 27, strony: 2301-2332), Wydawca: Deutsche Mathematiker-Vereinigung e.V., Berlin
    Status:
    Published
    DOI:
    brak - link to the publication
  5. A note on free determinantal hypersurface arrangements in P^14
    Authors:
    Marek Janasz, Paulina Wiśniewska
    Academic press:
    Proyecciones Journal of Mathematics (rok: 2023, tom: 42(4), strony: 1093 - 1104), Wydawca: Universidad Católica del Norte
    Status:
    Published
    DOI:
    10.22199/issn.0717-6279-5780 - link to the publication
  6. Conic-line arrangements in the complex projective plane
    Authors:
    Piotr Pokora, Tomasz Szemberg
    Academic press:
    Discrete & Computational Geometry (rok: 2023, tom: 69(4), strony: 1121 - 1138), Wydawca: Springer-Verlag
    Status:
    Published
    DOI:
    10.1007/s00454-022-00397-6 - link to the publication
  7. Klein's arrangements of conics and lines
    Authors:
    Gabor Gevay, Piotr Pokora
    Academic press:
    Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry (rok: 2023, tom: Early View, strony: 26 pages), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s13366-023-00697-9 - link to the publication
  8. Regularity and symbolic defect of points on rational normal curves
    Authors:
    Iman Bahmani Jafarloo, Grzegorz Malara
    Academic press:
    Periodica Mathematica Hungarica (rok: 2023, tom: Early View, strony: 12 pages), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10998-023-00531-8 - link to the publication
  9. Unexpected properties of the Klein configuration of 60 points in PP^3
    Authors:
    Piotr Pokora, Tomasz Szemberg, Justyna Szpond
    Academic press:
    The Michigan Mathematical Journal (rok: 2023, tom: Early View, strony: 17 pages), Wydawca: University of Michigan, Department of Mathematics
    Status:
    Published
    DOI:
    10.1307/mmj/20216141 - link to the publication
  10. On unexpected curves of type (d+k,d)
    Authors:
    Grzegorz Malara, Halszka Tutaj-Gasińska
    Academic press:
    ANNALES DE L'INSTITUT FOURIER , Wydawca: Centre Mersenne
    Status:
    Submitted
    DOI:
    brak - link to the publication
  11. On Seshadri constants and point-curve configurations
    Authors:
    Marek Janasz, Piotr Pokora
    Academic press:
    Electronic Research Archive (rok: 2020, tom: 28(2), strony: 795 -- 805), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/era.2020040 - link to the publication
  12. On conic-line arrangements with nodes, tacnodes, and ordinary triple points
    Authors:
    Alexandru Dimca, Piotr Pokora
    Academic press:
    Journal of Algebraic Combiantorics (rok: 2022, tom: 56(2), strony: 403-424), Wydawca: Springer-Verlag
    Status:
    Published
    DOI:
    10.1007/s10801-022-01116-3 - link to the publication
  13. Hunting for Miyaoka-Kobayashi curves
    Authors:
    Alexandru Dimca, Piotr Pokora
    Academic press:
    Publications of the Research Institute for Mathematical Sciences , Wydawca: EMS Press
    Status:
    Submitted
    DOI:
    brak - link to the publication
  14. Generic projections of the H_4 configuration of points
    Authors:
    Maciej Zięba, Paulina Wiśniewska
    Academic press:
    Advances in Applied Mathematics (rok: 2023, tom: 142, strony: ID Article 102432), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aam.2022.102432 - link to the publication
  15. 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-Verlag
    Status:
    Published
    DOI:
    10.1007/s10711-021-00602-5 - link to the publication
  16. On plane conic arrangements with nodes and tacnodes
    Authors:
    Alexandru Dimca, Marek Janasz, Piotr Pokora
    Academic press:
    Innovations in Incidence Geometry (rok: 2022, tom: 19(2), strony: 47-58), Wydawca: MSP (Mathematical Sciences Publishers)
    Status:
    Published
    DOI:
    10.2140/iig.2022.19.47 - link to the publication
  17. Construction of free curves by adding lines to a given curve
    Authors:
    Alexandru Dimca, Giovanna Ilardi, Piotr Pokora, Gabriel Sticlaru
    Academic press:
    Results in Mathematics , Wydawca: Springer Verlag
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  1. -
    Authors:
    Piotr Pokora
    Book:
    Wybrane zagadnienia teorii układów krzywych płaskich (rok: 2022, tom: 1130, strony: 92), Wydawca: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego w Krakowie
    Status:
    Published

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