Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

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

Information in the final report

  • Publication in academic press/journals (6)
  1. 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
  2. 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
  3. 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
  4. 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
  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. 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

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy