Compact moduli of K3 surfaces with a nonsymplectic automorphism
Algebraic Geometry
2026-02-24 v2
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.
Keywords
Cite
@article{arxiv.2110.13834,
title = {Compact moduli of K3 surfaces with a nonsymplectic automorphism},
author = {Valery Alexeev and Philip Engel and Changho Han},
journal= {arXiv preprint arXiv:2110.13834},
year = {2026}
}
Comments
18 pages. v2: extended to noncyclic group of automorphisms