Automorphisms of supersingular K3 surfaces and Salem polynomials
Algebraic Geometry
2015-12-10 v3
Abstract
We present a method to generate many automorphisms of a supersingular K3 surface in odd characteristic. As an application, we show that, if p is an odd prime less than or equal to 7919, then every supersingular K3 surface in characteristic p has an automorphism whose characteristic polynomial on the N\'eron-Severi lattice is a Salem polynomial of degree 22. For a supersingular K3 surface with Artin invariant 10, the same holds for odd primes less than or equal to 17389.
Keywords
Cite
@article{arxiv.1503.04517,
title = {Automorphisms of supersingular K3 surfaces and Salem polynomials},
author = {Ichiro Shimada},
journal= {arXiv preprint arXiv:1503.04517},
year = {2015}
}
Comments
15 pages, results are improved