Dynamics on supersingular K3 surfaces
Matthias Schütt
Leibniz-Universität Hannover, Germany
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Abstract
For any odd characteristic mod , we exhibit an explicit automorphism on the supersingular K3 surface of Artin invariant one which does not lift to any characteristic zero model. Our construction builds on elliptic fibrations to produce a closed formula for the automorphism's characteristic polynomial on second cohomology, which turns out to be an irreducible Salem polynomial of degree 22 with coefficients varying with .
Cite this article
Matthias Schütt, Dynamics on supersingular K3 surfaces. Comment. Math. Helv. 91 (2016), no. 4, pp. 705–719
DOI 10.4171/CMH/400