Dynamics on supersingular K3 surfaces and automorphisms of Salem degree 22

Abstract

In this note we exhibit explicit automorphisms of maximal Salem degree 22 on the supersingular K3 surface of Artin invariant one for all primes p congruent 3 mod 4 in a systematic way. Automorphisms of Salem degree 22 do not lift to any characteristic zero model.

References in corpus (5)

• Dynamical degrees of birational transformations of projective surfaces
• Transcendental lattices and supersingular reduction lattices of a singular $K3$ surface
• Automorphisms of elliptic $K3$ surfaces and Salem numbers of maximal degree
• Dynamics on supersingular K3 surfaces
• Automorphisms of supersingular K3 surfaces and Salem polynomials

Cited by in corpus (2)

• Elliptic fibrations on K3 surfaces and Salem numbers of maximal degree
• Automorphisms of minimal entropy on supersingular K3 surfaces