Automorphisms of elliptic $K3$ surfaces and Salem numbers of maximal degree

Abstract

Using elliptic structures, we show that any supersingular K3 surface of Artin invariant $1$ in characteristic $p\ne 5$, $7$, $13$ has an automorphism the entropy of which is the natural logarithm of a Salem number of degree $22$.

arXiv comment12pages, introduction has been slightly changed and typos are corrected

Cited by in corpus (5)

• Elliptic fibrations on K3 surfaces and Salem numbers of maximal degree
• Automorphisms of supersingular K3 surfaces and Salem polynomials
• Dynamics on supersingular K3 surfaces and automorphisms of Salem degree 22
• Distribution of Mordell--Weil ranks of families of elliptic curves
• Non-liftability of automorphism groups of a K3 surface in positive characteristic