K3 surfaces with non-symplectic automorphisms of 2-power order
Algebraic Geometry
2009-07-13 v3 Number Theory
Abstract
This paper concerns complex algebraic K3 surfaces with an automorphism which acts trivially on the Neron-Severi group. Complementing a result by Vorontsov and Kondo, we determine those K3 surfaces where the order of the automorphism is a 2-power and equals the rank of the transcendental lattice. We also study the arithmetic of these K3 surfaces and comment on mirror symmetry
Keywords
Cite
@article{arxiv.0807.3708,
title = {K3 surfaces with non-symplectic automorphisms of 2-power order},
author = {Matthias Schuett},
journal= {arXiv preprint arXiv:0807.3708},
year = {2009}
}
Comments
19 pages, 1 figure; v3: exposition improved thanks to referee's comments