Associated primes of Local cohomology modules over Regular rings
Commutative Algebra
2016-03-09 v1
Abstract
Let be an excellent regular ring of dimension containing a field of characteristic zero. Let be an ideal in . We show that is a finite set. As an application we show that if is an ideal of height with for all minimal primes of then for all but finitely many primes with , the topological space is connected.
Keywords
Cite
@article{arxiv.1411.2734,
title = {Associated primes of Local cohomology modules over Regular rings},
author = {Tony J. Puthenpurakal},
journal= {arXiv preprint arXiv:1411.2734},
year = {2016}
}