Order 6 non-symplectic automorphisms of K3 surfaces
Algebraic Geometry
2015-03-13 v2
Abstract
We classify primitive non-symplectic automorphisms of order 6 on K3 surfaces. We show how their study can be reduced to the study of non-symplectic automorphisms of order 3 and to a local analysis of the fixed loci. In particular, we determine the possible fixed loci and show that when the Picard lattice is fixed, K3 surfaces come in mirror pairs.
Keywords
Cite
@article{arxiv.0912.5228,
title = {Order 6 non-symplectic automorphisms of K3 surfaces},
author = {Jimmy Dillies},
journal= {arXiv preprint arXiv:0912.5228},
year = {2015}
}
Comments
Rephrased the main theorem to remove a discrepancy with section 9