Stable pair compactification of moduli of K3 surfaces of degree 2
Algebraic Geometry
2023-02-15 v3
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 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.
Cite
@article{arxiv.1903.09742,
title = {Stable pair compactification of moduli of K3 surfaces of degree 2},
author = {Valery Alexeev and Philip Engel and Alan Thompson},
journal= {arXiv preprint arXiv:1903.09742},
year = {2023}
}
Comments
v3: Accepted version