Gap theorems and achirality for automorphisms of K3 surfaces and Enriques surfaces
Algebraic Geometry
2026-04-17 v2 Group Theory
Geometric Topology
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.
Cite
@article{arxiv.2604.04682,
title = {Gap theorems and achirality for automorphisms of K3 surfaces and Enriques surfaces},
author = {Kohei Kikuta and Yuta Takada and Taiki Takatsu},
journal= {arXiv preprint arXiv:2604.04682},
year = {2026}
}
Comments
32 pages. v2: minor changes