Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces

2009/01/28 by Valery Alexeev, Rita Pardini, Alexeev, Valery +1 · 1 citation
Mathematics · #14J10 #14J29 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0901.4431

openalex publication_date 2009/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe explicitly the geometric compactifications, obtained by adding slc surfaces X with ample canonical class, for two connected components in the moduli space of surfaces of general type: Campedelli surfaces with π₁(X)=\mathbb Z₂³ and Burniat surfaces with K²=6.

Cited by

• Non-normal abelian covers

Related

• The compactifications of moduli spaces of Burniat surfaces with 2≤ K²≤5
• Explicit KSBA compactifications of moduli spaces of secondary and tertiary Burniat surfaces
• Compact moduli spaces of surfaces of general type
• Burniat surfaces III: deformations of automorphisms and extended Burniat surfaces
• Moduli of Canonical Surfaces of General Type with K_S² = 1, p_g = 2