Orbit closures for representations of Dynkin quivers are regular in codimension two

2004/11/14 by Grzegorz Zwara, Zwara, Grzegorz
Mathematics · #14B05 #14L30 #16G10 #16G20 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:14B05 #msc:14L30 #msc:16G10 #msc:16G20

paper · pdf · doi:10.48550/arxiv.math/0411314

24 pages

arxiv created 2004/11/14 · openalex publication_date 2004/11/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop reductions for classifications of singularities of orbit closures in module varieties. Then we show that the orbit closures for representations of Dynkin quivers are regular in codimension two.

Related

• Codimension two singularities for representations of extended Dynkin quivers
• Orbit closures of representations of source-sink Dynkin quivers
• Free resolutions of orbit closures of Dynkin quivers
• Crepant resolutions of orbit closures in Quiver representations of type A_n and D₄
• Tangent spaces of orbit closures for representations of Dynkin quivers of type D