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arXiv:1503.04517 [math.AG]AbstractReferencesReviewsResources

Automorphisms of supersingular K3 surfaces and Salem polynomials

Ichiro Shimada

Published 2015-03-16Version 1

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 211, 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.

Comments: 16 pages
Categories: math.AG
Subjects: 14J28, 14J50, 37B40, 14Q10
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