Compact moduli of K3 surfaces with a nonsymplectic automorphism

2021/10/26 by Valery Alexeev, Alexeev, Valery, Philip Engel +3
Mathematics · #14D22 #14J28 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2110.13834

openalex publication_date 2021/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a modular compactification via stable slc pairs for the moduli spaces of K3 surfaces with a nonsymplectic group of automorphisms under the assumption that some combination of the fixed loci of automorphisms defines an effective big divisor, and prove that it is semitoroidal.

Related

• Compactifications of moduli spaces of K3 surfaces with a higher-order nonsymplectic automorphism
• KSBA compactification of the moduli space of K3 surfaces with purely non-symplectic automorphism of order four
• Automorphism groups in a family of K3 surfaces
• Compactifications of moduli spaces of K3 surfaces with a nonsymplectic involution
• Compact moduli of K3 surfaces