Remarks on K3 surfaces with non-symplectic automorphisms of order 7
Algebraic Geometry
2018-08-10 v2
Abstract
In this note, we treat a pair of a K3 surface and a non-symplectic automorphism of order 7m (m=1, 3 and 6) on it. We show that if the fixed locus of a non-symplectic automorphism order 7 is "special" then the pair is unique up to isomorphism. And we describe fixed loci of non-symplectic automorphisms of order 21 and 42.
Cite
@article{arxiv.1512.08647,
title = {Remarks on K3 surfaces with non-symplectic automorphisms of order 7},
author = {Shingo Taki},
journal= {arXiv preprint arXiv:1512.08647},
year = {2018}
}
Comments
This paper has been withdrawn by the author because it turns out that the main result is not true