Finiteness results for K3 surfaces over arbitrary fields

Autor: Adam Logan, Martin Bright, Ronald van Luijk
Rok vydání: 2019
Předmět:
Zdroj: European Journal of Mathematics. 6:336-366
ISSN: 2199-6768
2199-675X
DOI: 10.1007/s40879-019-00337-4
Popis: Over an algebraically closed field, various finiteness results are known regarding the automorphism group of a K3 surface and the action of the automorphisms on the Picard lattice. We formulate and prove versions of these results over arbitrary base fields, and give examples illustrating how behaviour can differ from the algebraically closed case.
Databáze: OpenAIRE