Orbit closures of representations of source-sink Dynkin quivers

2011/12/04 by Kavita Sutar, Sutar, Kavita
Mathematics · Physics and Astronomy · #14B05 #14L30 #14M05 #14M12 #14M17 #16G20 #16G70 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.AC #math.AG #math.RT #msc:14B05 #msc:14L30 #msc:14M05 #msc:14M12 #msc:14M17 #msc:16G20 #msc:16G70

paper · pdf · doi:10.48550/arxiv.1112.0769

11 pages, 3 figures

openalex publication_date 2011/12/04 · arxiv created 2011/12/06 · arxiv updated 2011/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use the geometric technique, developed by Weyman, to calculate the resolution of orbit closures of representations of Dynkin quivers with every vertex being source or sink. We use this resolution to derive the normality of such orbit closures. As a consequence we obtain the normality of certain orbit closures of type E.

Related

• Free resolutions of orbit closures of Dynkin quivers
• Orbit closures for representations of Dynkin quivers are regular in codimension two
• Orbit semigroups and the representation type of quivers
• Tangent spaces of orbit closures for representations of Dynkin quivers of type D
• Crepant resolutions of orbit closures in Quiver representations of type A_n and D₄