Cohen-Macaulayness of modules of covariants

DOI10.1007/BF01243917zbMath0761.13004OpenAlexW2130175216MaRDI QIDQ1191371

Michel Van den Bergh

Publication date: 27 September 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143946

zbMATH Keywords

De Rham cohomologyirreducible characterreductive algebraic groupmodules of covariants

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Actions of groups on commutative rings; invariant theory (13A50) de Rham cohomology and algebraic geometry (14F40)

Related Items (9)

Sur les modules de covariants ⋮ The Frobenius morphism in invariant theory ⋮ Non-commutative resolutions of quotient singularities for reductive groups ⋮ Covariant algebra of the binary nonic and the binary decimic ⋮ Noncommutative crepant resolutions, an overview ⋮ Local cohomology with support in ideals of maximal minors and sub-maximal Pfaffians ⋮ Classification of Cohen-Macaulay Modules of Covariants for Systems of Binary Forms ⋮ Local cohomology of modules of covariants ⋮ The Frobenius morphism in invariant theory. II

Cites Work

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• A generalization of the Chevalley restriction theorem
• Buildings of spherical type and finite BN-pairs
• Trace Rings of Generic Matrices are Cohen-Macaulay
• Cohen-Macaulayness of Semi-Invariants for Tori
• On the De Rham cohomology of algebraic varieties

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