Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay
type: Item
instance of: scholarly article
title: Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay
zbMATH Open document ID: 0289.14010
DOI: 10.1016/0001-8708(74)90067-X
author: Melvin Hochster
author: Joel L. Roberts
published in: Advances in Mathematics
publication date: 1974-01-01T00:00:00Z
Mathematics Subject Classification ID: 14M05
Mathematics Subject Classification ID: 14B15
Mathematics Subject Classification ID: 20G15
Mathematics Subject Classification ID: 13H10
zbMATH DE Number: 3453786
MaRDI profile type: Publication
cites work: Introduction to Grothendieck duality theory
cites work: A Theory of Grade for Commutative Rings
cites work: On the Zeta Function of Biprojective Complete Intersections
cites work: Graded algebras of powers of ideals generated by A-sequences
cites work: Determinantal Varieties, Monomial Semigroups, and Algebras Associated with Ideals
cites work: On the ubiquity of Gorenstein rings
cites work: Q5525471
cites work: Q5580321
cites work: Shellable Decompositions of Cells and Spheres.
cites work: What makes a complex exact?
cites work: A Generalized Koszul Complex. II. Depth and Multiplicity
cites work: Invariants of Finite Groups Generated by Reflections
cites work: On Unmixedness Theorem
cites work: On the Structure and Ideal Theory of Complete Local Rings
cites work: Algebraic geometry
cites work: Q5672739
cites work: The Grothendieck Group of Finitely Generated Modules
cites work: Examples of Cohen-Macaulay rings which are not Gorenstein
cites work: R-SEQUENCES AND INDETERMINATES
cites work: Ideals defined by matrices and a certain complex associated with them
cites work: Generically acyclic complexes and generically perfect ideals
cites work: Q5585972
cites work: Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
cites work: Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
cites work: Q5648459
cites work: Generically Perfect Modules are Strongly Generically Perfect
cites work: Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
cites work: Grassmannians and their Schubert subvarieties are arithmetically Cohen- Macaulay
cites work: Expanded radical ideals and semiregular ideals
cites work: Grade-Sensitive Modules and Perfect Modules
cites work: Criteria for equality of ordinary and symbolic powers of primes
cites work: A class of perfect determinantal ideals
cites work: Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
cites work: Five theorems on Macaulay rings
cites work: ON THE ARITHMETIC NORMALITY OF THE GRASSMANN VARIETY
cites work: Q5603302
cites work: Q5628263
cites work: Toroidal embeddings. I
cites work: Q5648475
cites work: Lie Group Representations on Polynomial Rings
cites work: Characterizations of Regular Local Rings of Characteristic p
cites work: Cohen-Macaulay Rings and Ideal Theory in Rings of Invariants of Algebraic Groups
cites work: The arithmetic Cohen-Macaulay character of Schubert schemes
cites work: Q4293528
cites work: Q5560099
cites work: A conjecture of Nagata on graded Cohen-Macaulay rings
cites work: Injective modules over Noetherian rings
cites work: Q5611879
cites work: A Remark on Determinantal Loci
cites work: Q5525818
cites work: Lectures on Curves on an Algebraic Surface. (AM-59)
cites work: A note on factorial rings
cites work: Q4402068
cites work: Q4120685
cites work: Complete reducibility of rational representations of a matric group
cites work: Q5735274
cites work: Invariants of a group in an affine ring
cites work: Lectures on the fourteenth problem of Hilbert
cites work: SEMI-REGULAR RINGS AND SEMI-REGULAR IDEALS
cites work: SOME REMARKS ON THE THEORY OF IDEALS DEFINED BY MATRICES
cites work: ADDITIONAL PROPERTIES OF GENERICALLY ACYCLIC PROJECTIVE COMPLEXES
cites work: Grade Sensitivity and Generic Perfection
cites work: Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
cites work: Q3244153
cites work: Q5771577

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cites work: Q3277839

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cites work: ON CERTAIN POLYNOMIAL IDEALS DEFINED BY MATRICES

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