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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Geometry of some K3 surfaces with many rational curves.

2017/25/B/ST1/00853

Keywords:

K3 surface lattice genus-1 fibration rational curve line conic Torelli theorem

Descriptors:

  • ST1_4: Algebraic and complex geometry
  • ST1_2: Algebra
  • ST1_3: Number theory

Panel:

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

Host institution :

Uniwersytet Jagielloński, Wydział Matematyki i Informatyki

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Sławomir Rams 

Number of co-investigators in the project: 2

Call: OPUS 13 - announced on 2017-03-15

Amount awarded: 178 200 PLN

Project start date (Y-m-d): 2018-02-14

Project end date (Y-m-d): 2022-02-13

Project duration:: 48 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. komputer przenosny (6 000 PLN)
  2. tablet z ekranem dotykowym i aktywnym piórem.
  3. komputer stacjonarny (13 425 PLN)

Information in the final report

  • Publication in academic press/journals (6)
  1. 24 rational curves on K3 surfaces
    Authors:
    Sławomir Rams, Matthias Schuett
    Academic press:
    Communications in Contemporary Mathematics (), Wydawca: World Scientific Publishing Company
    Status:
    Accepted for publication
    DOI:
    10.1142/S0219199722500080 - link to the publication
  2. Counting lines on projective surfaces
    Authors:
    Thomas Bauer, Sławomir Rams
    Academic press:
    Annali della Scuole Normale Superiore di Pisa, Classe di Scienze (), Wydawca: Scuola normale superiore di Pisa
    Status:
    Accepted for publication
    DOI:
    10.2422/2036-2145.202111_010 - link to the publication
  3. Counting Lines with Vinberg's algorithm
    Authors:
    Alex Degtyarev, Sławomir Rams
    Academic press:
    Mathematische Zeitschrift (), Wydawca: Springer
    Status:
    Submitted
    DOI:
    nie - link to the publication
  4. Counting lines on surfaces, especially quintics
    Authors:
    Sławomir Rams, Matthias Schuett
    Academic press:
    Annali della Scuole Normale Superiore di Pisa, Classe di Scienze (rok: 2020, tom: 20 nr 3, strony: 859-890), Wydawca: Scuola normale superiore di Pisa
    Status:
    Published
    DOI:
    10.2422/2036-2145.201804_024 - link to the publication
  5. Twelve Rational curves on Enriques surfaces
    Authors:
    Sławomir Rams, Matthias Schuett
    Academic press:
    Research in the Mathematical Sciences (rok: 2021, tom: 8, strony: 16), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s40687-021-00262-7 - link to the publication
  6. On characteristic polynomials of automorphisms of Enriques surfaces
    Authors:
    Simon Brandhorst, Sławomir Rams, Ichiro Shimada
    Academic press:
    Publications of the Research Institute for Mathematical Sciences (), Wydawca: The Publishing House of the European Mathematical Society
    Status:
    Accepted for publication
    DOI:
    nie - link to the publication

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