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.

arXiv comment18 pages. v2: extended to noncyclic group of automorphisms

References in corpus (2)

• Compact moduli of plane curves
• Compactifications of moduli of elliptic K3 surfaces: stable pair and toroidal

Cited by in corpus (2)

• Revisiting the moduli space of 8 points on ${\mathbb{P}}^1$
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