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, 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.

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