Finiteness property of local cohomology for $F$-pure local rings

Details Finiteness property of local cohomology for $F$-pure local rings Finiteness property of local cohomology for $F$-pure local rings

2012-04-06

arxiv.org/abs/1204.1539v1

Mathematics

Commutative Algebra

Scientific paper

In this paper, we show that for an $F$-pure local ring $(R,\m)$, all local cohomology modules $H_{\m}^i(R)$ have finitely many Frobenius compatible submodules. This answers (in the positive) the open question raised by F.Enescu and M.Hochster in their paper "The Frobenius structure of local cohomology". We also use our main results to generalize a result in of F.Enescu and study some examples to understand $F$-purity and FH-finiteness.

Affiliated with

Also associated with

No associations

Rating

Finiteness property of local cohomology for $F$-pure local rings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Finiteness property of local cohomology for $F$-pure local rings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finiteness property of local cohomology for $F$-pure local rings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-185753