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arXiv · 1903.09742

Stable pair compactification of moduli of K3 surfaces of degree 2

Valery Alexeev·Philip Engel·Alan Thompson
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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.

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Valery Alexeev, Philip Engel, Alan Thompson. 2019-03-23. Stable pair compactification of moduli of K3 surfaces of degree 2. https://arxiv.org/abs/1903.09742

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