Bass numbers over local rings via stable cohomology
Commutative Algebra
2012-08-23 v1
Abstract
For any non-zero finite module M of finite projective dimension over a noetherian local ring R with maximal ideal m and residue field k, it is proved that the natural map Ext_R(k,M)-->Ext_R(k,M/mM) is non-zero when R is regular and is zero otherwise. A noteworthy aspect of the proof is the use of stable cohomology. Applications include computations of Bass series over certain local rings.
Keywords
Cite
@article{arxiv.1208.4458,
title = {Bass numbers over local rings via stable cohomology},
author = {Luchezar L. Avramov and Srikanth B. Iyengar},
journal= {arXiv preprint arXiv:1208.4458},
year = {2012}
}
Comments
7 pages