Vanishing of cohomology over complete intersection rings
Commutative Algebra
2013-04-02 v2
Abstract
Let R be a complete intersection ring and let M and N be R-modules. It is shown that the vanishing of Ext^i_R(M,N) for a certain number of consecutive values of i starting at n forces the complete intersection dimension of M to be at most n-1. We also estimate the complete intersection dimension of the dual of M, in terms of vanishing of the cohomology modules, Ext^i_R(M,N).
Keywords
Cite
@article{arxiv.1210.5882,
title = {Vanishing of cohomology over complete intersection rings},
author = {Arash Sadeghi},
journal= {arXiv preprint arXiv:1210.5882},
year = {2013}
}
Comments
11 pages