Virus infections, Corona surfaces, and extra components in the moduli\n space of stable surfaces

2021/03/31 by Sönke Rollenske, Rollenske, Sönke
Mathematics · #14J10 #14J29 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2103.16893

openalex publication_date 2021/03/31 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We construct examples of non-smoothable stable surfaces, that we call Corona\nsurfaces, with invariants in a wide range comprising all possible invariants of\nsmooth minimal surfaces of general type but non-standard second plurigenus.\n We deduce that the moduli space of stable surfaces \ mathfrak\nM_k,l has least k-l+2 connected components distinguished by the second\nplurigenus and, in particular, it always has more irreducible components than\nthe Gieseker moduli space with the same invariants.\n

Citations

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

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