An atlas of K3 surfaces with finite automorphism group

Xavier Roulleau

doi:10.46298/epiga.2022.6286

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

epiga:6286 - Épijournal de Géométrie Algébrique, 28 novembre 2022, Volume 6 - https://doi.org/10.46298/epiga.2022.6286

An atlas of K3 surfaces with finite automorphism groupArticle

Auteurs : 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

Publié le : 28 novembre 2022

Accepté le : 21 juin 2022

Soumis le : 17 avril 2020

Mots-clés : Mathematics - Algebraic Geometry, 14J28

Licence : Attribution - Partage dans les Mêmes Conditions 4.0 International (CC BY-SA 4.0)

Financement :

Source : OpenAIRE Graph