Resolutions of defining ideals of orbit closures for quivers of type \(A_3\).

DOI10.1216/JCA-2013-5-3-441zbMath1284.16019arXiv1111.1179MaRDI QIDQ393102

Kavita Sutar

Publication date: 16 January 2014

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1179

zbMATH Keywords

Dynkin quiversCohen-Macaulay varietiesBott vanishing theoremgeometry of orbit closuresGorenstein orbit closuresLascoux resolution

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Singularities in algebraic geometry (14B05) Determinantal varieties (14M12) Group actions on varieties or schemes (quotients) (14L30) Actions of groups on commutative rings; invariant theory (13A50) Representations of quivers and partially ordered sets (16G20)

Related Items (2)

Free resolutions of orbit closures of Dynkin quivers ⋮ Minimal free resolutions of ideals of minors associated to pairs of matrices

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