Gorenstein stable surfaces with K_X² = 2 and χ(\mathcal O_X) = 4

2019/04/28 by Ben Anthes, Anthes, Ben · 1 citation
Mathematics · #14D07 #14J10 (primary) and 14J29 #14J17 #14Q05 #32S35 (secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1904.12307

openalex publication_date 2019/04/28 · openalex created_date 2019/05/03 · openalex updated_date 2026/07/28

Abstract

We define and study a concrete stratification of the moduli space of Gorenstein stable surfaces X satisfying K_X² = 2 and χ(O_X) = 4, by first establishing an isomorphism with the moduli space of plane octics with certain singularities, which is then easier to handle concretely. In total, there are 47 inhabited strata with altogether 78 components.

Citations

• Non-normal abelian covers

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