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Stable pair compactification of moduli of K3 surfaces of degree 2

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 نشر من قبل Valery Alexeev
 تاريخ النشر 2019
  مجال البحث
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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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