The compactifications of moduli spaces of Burniat surfaces with 2≤ K²≤5

2013/12/13 by Xiaoyan Hu, Hu, Xiaoyan
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #math.AG

paper · pdf · doi:10.48550/arxiv.1312.3854

Minor update

openalex publication_date 2013/12/13 · arxiv created 2014/01/30 · arxiv updated 2014/01/31 · openalex created_date 2016/08/23 · openalex updated_date 2026/07/28

Abstract

We describe compactifications of moduli spaces of Burniat surfaces with 2≤ K_X²≤5 obtained by adding KSBA surfaces, i.e. slc surfaces X with ample canonical class K_X.

Citations

• Weighted grassmannians and stable hyperplane arrangements
• Non-normal abelian covers

Related

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• Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces
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