Modern methods in complex affine geometry.

2015/18/E/ST1/00562

Keywords

Descriptors

  • ST1_4: Geometria algebraiczna i zespolona
  • ST1_6: Topologia

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

Voivodeship: mazowieckie

Other projects carried out by the institution »

Principal investigator (from the host institution)

dr Karol Andrzej 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
2016-04-01
Project end date
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 pcs). Cost: 14 000 PLN
  2. czytnik elektroniczny i akcesoria.
  3. drukarka, skaner, dysk zewnętrzny (2 pcs). Cost: 3 000 PLN
  4. laptop lub komputer stacjonarny z podstawowym oprogramowaniem. Cost: 7 000 PLN
  5. laptop, akcesoria.
  6. monitor.

Information in the final report

Publication in academic press/journals (4)

  1. 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 (year: 2022, volume: online first, pages: 12420), Publisher: London Mathematical Society, Wiley
    Status:
    Published
    DOI:
    10.1112/jlms.12598 – link to the publication
  2. Classification of planar rational cuspidal curves. II. Log del Pezzo models

    Authors:
    Karol Palka, Tomasz Pełka
    Academic press:
    Proceedings of the London Mathematical Society (year: 2020, volume: 120 nr 5, pages: 642-703), Publisher: Oxford Academic
    Status:
    Published
    DOI:
    10.1112/plms.12300 – link to the publication
  3. 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 (year: 2022, volume: 158, pages: 144-182), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.matpur.2021.11.003 – link to the publication
  4. Classification of planar rational cuspidal curves. I. C**-fibrations

    Authors:
    Karol Palka, Tomasz Pełka
    Academic press:
    Proceedings of the London Mathematical Society (year: 2017, volume: 115 nr 3, pages: 638–692), Publisher: Oxford Academic
    Status:
    Published
    DOI:
    10.1112/plms.12049 – link to the publication

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Graphic design and implementation: Jakub Piotrowski