Gap theorems and achirality for automorphisms of K3 surfaces and Enriques surfaces

Abstract

We prove gap theorems for entropy norms on automorphism groups of K3 surfaces, Enriques surfaces, and irreducible holomorphic symplectic manifolds. We also study the achirality of automorphisms of K3 surfaces and Enriques surfaces in terms of genus-one fibrations.

32 pages. v2: minor changes