Minimal singularities in orbit closures of matrix pencils.

DOI10.1016/S0024-3795(01)00356-1zbMath1064.16012MaRDI QIDQ1874287

Jens Bender, Klaus Bongartz

Publication date: 25 May 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

singularitiesorbit closuresmatrix pencilsdegenerationspath algebras of quiversKronecker algebrasmodule varieties

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Group actions on varieties or schemes (quotients) (14L30) Representations of quivers and partially ordered sets (16G20)

Related Items (9)

Codimension two singularities for representations of extended Dynkin quivers ⋮ On regularity in codimension one of irreducible components of module varieties. ⋮ On minimal disjoint degenerations of modules over tame path algebras. ⋮ Orbit closures and rational surfaces ⋮ Perturbation theory of matrix pencils through miniversal deformations ⋮ Regular orbit closures in module varieties ⋮ Regularity in codimension one of orbit closures in module varieties. ⋮ Normality of orbit closures for directing modules over tame algebras. ⋮ On minimal disjoint degenerations for preprojective representations of quivers

Cites Work

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• On degenerations and extensions of finite dimensional modules
• A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part I: Versal Deformations
• Linear Sections of Determinantal Varieties
• ON A CLASS OF QUASIHOMOGENEOUS AFFINE VARIETIES
• ON MATRICES DEPENDING ON PARAMETERS

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