Xavier Roulleau - An atlas of K3 surfaces with finite automorphism group

epiga:6286 - Épijournal de Géométrie Algébrique, November 28, 2022, Volume 6 - https://doi.org/10.46298/epiga.2022.6286
An atlas of K3 surfaces with finite automorphism groupArticle

Authors: Xavier Roulleau

    We study the geometry of the K3 surfaces $X$ with a finite number automorphisms and Picard number $\geq 3$. We describe these surfaces classified by Nikulin and Vinberg as double covers of simpler surfaces or embedded in a projective space. We study moreover the configurations of their finite set of $(-2)$-curves.

    Comment: 95 pages, 80 figures, 1 Table

    https://doi.org/10.46298/epiga.2022.6286
    Source: arXiv.org:2003.08985
    Volume: Volume 6
    Published on: November 28, 2022
    Accepted on: June 21, 2022
    Submitted on: April 17, 2020
    Keywords: Mathematics - Algebraic Geometry, 14J28
    Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)
    Funding:
      Source : OpenAIRE Graph
    • Deep Drug Discovery and Deployment; Funder: Fundação para a Ciência e a Tecnologia, I.P.; Code: PTDC/CCI-BIO/29266/2017

    Classifications

    Mathematics Subject Classification 20201
    Sources:
    • [1] zbMATH Open.

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