Stable pair compactification of moduli of K3 surfaces of degree 2

2019/03/23 by Alexeev, Valery, Engel, Philip, Thompson, Alan · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1903.09742

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,εR) 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.

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