Actions of reductive groups on regular rings and Cohen-Macaulay rings

DOI10.1090/S0002-9904-1974-13462-2zbMath0279.14010MaRDI QIDQ4405022

Melvin Hochster, Joel L. Roberts

Publication date: 1974

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and algebraic geometry (14B15) Regular local rings (13H05)

Related Items

Character varieties of free groups are Gorenstein but not always factorial, Cohomology for Frobenius kernels of \(\mathrm{SL}_2\)., The purity of the Frobenius and local cohomology

Cites Work

• Unnamed Item
• Unnamed Item
• Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
• Complete reducibility of rational representations of a matric group
• Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay
• Introduction to Grothendieck duality theory
• The arithmetic Cohen-Macaulay character of Schubert schemes
• Grassmannians and their Schubert subvarieties are arithmetically Cohen- Macaulay
• Grade-Sensitive Modules and Perfect Modules
• Characterizations of Regular Local Rings of Characteristic p
• A class of perfect determinantal ideals
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci