On some local cohomology modules

Details On some local cohomology modules On some local cohomology modules

2006-09-18

arxiv.org/abs/math/0609508v1

Mathematics

Commutative Algebra

24 pages

Scientific paper

Let R be a commutative Noetherian d-dimensional complete equicharacterisitc regular local ring and let I be an ideal of R such that every minimal prime over I has height at most c. Let v=d - [(d-2)/c]-1 and v'=d - [(d-1)/c]. It has been known that the i-th local cohomology module of any R-module M with support in I vanishes for i>v', and if I is prime, for i>v; both results are sharp. The purpose of this paper is to prove a necessary and sufficient condition, for a not necessarily prime I, for the vanishing in the range i>v, i.e. in the same range as for a prime ideal. The condition is in terms of some combinatorial properties of the set of the minimal primes of I whose sum is zero-dimensional. A version for non-regular local rings is also proven.

Affiliated with

Also associated with

No associations

Rating

On some local cohomology modules 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 On some local cohomology modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On some local cohomology modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-648358