Compact moduli of K3 surfaces with a nonsymplectic automorphism

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.

18 pages. v2: extended to noncyclic group of automorphisms

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