Stable pair compactification of moduli of K3 surfaces of degree 2

Abstract

We prove that the universal family of polarized K3 surfaces of degree 2 can be extended to a flat family of stable slc pairs $(X,\epsilon R)$ over the toroidal compactification associated to the Coxeter fan. One-parameter degenerations of K3 surfaces in this family are described by integral-affine structures on a sphere with 24 singularities.

arXiv commentv3: Accepted version

Cited by in corpus (1)

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