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

Fuente: arXiv
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Hauptverfasser: Kikuta, Kohei, Takada, Yuta, Takatsu, Taiki
Format: Preprint
Veröffentlicht: 2026
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author Kikuta, Kohei
Takada, Yuta
Takatsu, Taiki
author_facet Kikuta, Kohei
Takada, Yuta
Takatsu, Taiki
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2604_04682
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Gap theorems and achirality for automorphisms of K3 surfaces and Enriques surfaces
Kikuta, Kohei
Takada, Yuta
Takatsu, Taiki
Algebraic Geometry
Group Theory
Geometric Topology
14J28, 14J50, 20F65, 20F67,
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.
title Gap theorems and achirality for automorphisms of K3 surfaces and Enriques surfaces
topic Algebraic Geometry
Group Theory
Geometric Topology
14J28, 14J50, 20F65, 20F67,
url https://arxiv.org/abs/2604.04682