Normal forms for quasi-elliptic Enriques surfaces and applications

authored by
Toshiyuki Katsura, Matthias Schütt
Abstract

We work out normal forms for quasi-elliptic Enriques surfaces and give several applications. These include torsors and numerically trivial automorphisms, but our main application is the completion of the classification of Enriques surfaces with finite automorphism groups started by Kondō, Nikulin, Martin and Katsura–Kondō–Martin.

Organisation(s)
Faculty of Mathematics and Physics
External Organisation(s)
University of Tokyo
Type
Article
Journal
Epijournal de Geometrie Algebrique
Volume
8
Publication date
07.06.2024
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Algebra and Number Theory, Geometry and Topology
Electronic version(s)
https://doi.org/10.48550/arXiv.2304.12599 (Access: Open)
https://doi.org/10.46298/epiga.2024.11410 (Access: Open)