Titlebook: Commutative Algebra; Proceedings of a Mic M. Hochster,C. Huneke,J. D. Sally Conference proceedings 1989 Springer-Verlag New York Inc. 1989

CRAB

extract

https://doi.org/10.1007/978-1-349-11702-4ators for the ideals of such varieties, and we compute the singular loci of the hypersurfaces in the space of . matrices given by the vanishing of a single coefficient of the characteristic polynomial.

系列

AGATE

callous

Cohen-Macaulay Modules for Graded Cohen-Macaulay Rings and their Completions,n between the complete case and graded case, by deducing the existence theorem for . from that of .. An interesting feature of this approach is that it shows at the same time that almost split sequences for . stay almost split under completion.

忙碌

,Differential Structure of Étale Extensions of Polynomial Algebras,º ..”. Of course this begs the issue, since we don’t know that .. exists. However F. exists analytically near 0. In particular we can pull back the action of the Lie algebra ..(ℂ) as vector fields on ℂ.. Moreover the fact that the Jacobian matrix of . has a polynomial inverse implies that ..(ℂ) pulls back to . vector fields on the source ℂ..

柱廊

jagged

Rank Varieties of Matrices,ators for the ideals of such varieties, and we compute the singular loci of the hypersurfaces in the space of . matrices given by the vanishing of a single coefficient of the characteristic polynomial.

Constant

A Characterization of ,-Regularity in Terms of ,-Purity,lmost all .”. Not long after, using the Grauert-Riemenschneider vanishing theorem, Boutôt [1] proved an even stronger result— in the affine and analytic cases, a direct summand (in characteristic 0) of a ring with rational singularity necessarily has a rational singularity.

ALB

Powers of Licci Ideals,ich means that if one chooses any generating set ..,…, .. of . then the Koszul homology modules ..(..,… ..;.) are C-M modules. As it turns out one can control the powers of an SCM ideal sufficiently to allow us to prove our main Theorem 2.8.