Gorenstein algebras and Hochschild cohomology
Commutative Algebra
2009-04-28 v3 Rings and Algebras
Abstract
For homomorphism K-->S of commutative rings, where K is Gorenstein and S is essentially of finite type and flat as a K-module, the property that all non-trivial fiber rings of K-->S are Gorenstein is characterized in terms of properties of the cohomology modules Ext_n^{S\otimes_KS}S{S\otimes_KS}.
Cite
@article{arxiv.0704.3761,
title = {Gorenstein algebras and Hochschild cohomology},
author = {L. L. Avramov and S. Iyengar},
journal= {arXiv preprint arXiv:0704.3761},
year = {2009}
}
Comments
This is the published version, except for updates to references and bibliography. Sections 3, 4 and 8 have been removed from the preceding version, arXiv:0704.3761v2. Substantial generalizations of results in those sections are proved in our paper with Joseph Lipman and Suresh Nayak, arXiv:0904.4004