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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Modern methods in complex affine geometry.

2015/18/E/ST1/00562

Keywords:

complex variety affine variety Kodaira dimension log-minimal model program embedding cuspidal curve exotic structure

Descriptors:

  • ST1_4: Algebraic and complex geometry
  • ST1_6: Topology

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Karol Palka 

Number of co-investigators in the project: 7

Call: SONATA BIS 5 - announced on 2015-06-15

Amount awarded: 774 000 PLN

Project start date (Y-m-d): 2016-04-01

Project end date (Y-m-d): 2022-03-31

Project duration:: 72 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. 2 laptopy z podstawowym oprogramowaniem (2 szt.) (14 000 PLN)
  2. drukarka, skaner, dysk zewnętrzny (2 szt.) (3 000 PLN)
  3. monitor.
  4. laptop, akcesoria.
  5. czytnik elektroniczny i akcesoria.
  6. laptop lub komputer stacjonarny z podstawowym oprogramowaniem (7 000 PLN)

Information in the final report

  • Publication in academic press/journals (6)
  1. Classification of planar rational cuspidal curves. II. Log del Pezzo models
    Authors:
    Karol Palka, Tomasz Pełka
    Academic press:
    Proceedings of the London Mathematical Society (rok: 2020, tom: 120 nr 5, strony: 642-703), Wydawca: Oxford Academic
    Status:
    Published
    DOI:
    10.1112/plms.12300 - link to the publication
  2. Complex planar curves homeomorphic to a line have at most four singular points
    Authors:
    Mariusz Koras, Karol Palka
    Academic press:
    Journal de Mathématiques Pures et Appliquées (rok: 2022, tom: 158, strony: 144-182), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.matpur.2021.11.003 - link to the publication
  3. Classification of planar rational cuspidal curves. I. C**-fibrations
    Authors:
    Karol Palka, Tomasz Pełka
    Academic press:
    Proceedings of the London Mathematical Society (rok: 2017, tom: 115 nr 3, strony: 638–692), Wydawca: Oxford Academic
    Status:
    Published
    DOI:
    10.1112/plms.12049 - link to the publication
  4. Almost minimal models of log surfaces
    Authors:
    Karol Palka
    Academic press:
    strona www autora, wkrótce arxiv (rok: 2022, ), Wydawca: arXiv
    Status:
    Submitted
  5. Smooth Q-homology planes satisfying the Negativity Conjecture
    Authors:
    Tomasz Pełka
    Academic press:
    Journal of the London Mathematical Society (rok: 2022, ), Wydawca: London Mathematica Society
    Status:
    Submitted
  6. Completions of affine spaces into Mori fiber spaces with non-rational fibers
    Authors:
    Adrien Dubouloz, Takashi Kishimoto, Karol Palka
    Academic press:
    Journal of the London Mathematical Society (rok: 2022, tom: online first, strony: 12420), Wydawca: London Mathematical Society, Wiley
    Status:
    Published
    DOI:
    10.1112/jlms.12598 - link to the publication