Singularities of stable varieties

2011/02/07 by Sándor J. Kovács, Kovács, Sándor J. · 3 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1102.1240

openalex publication_date 2011/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a survey on recent results regarding singularities that occur on higher dimensional stable varieties.

Citations

• Semi log resolution
• Two examples of surfaces with normal crossing singularities

Cited by

• Higher Du Bois and Higher Rational Pairs
• Completions of complexes of differential modules on singular schemes
• Equivariant calculus on μ-character and μK-stability of polarized schemes

Related

• Resolution of singularities of complex algebraic varieties and their families
• On singular varieties having an extremal secant line
• Singularities of the Projective Dual Variety
• Alterations and resolution of singularities
• Stability of algebraic varieties and Kahler geometry