On some local cohomology modules
| dc.creator | Lyubeznik, Gennady | |
| dc.date | 2006-09-18 | |
| dc.date.accessioned | 2026-07-07T07:24:56Z | |
| dc.date.available | 2026-07-07T07:24:56Z | |
| dc.description | 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. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0609508 | |
| dc.identifier | http://arxiv.org/abs/math/0609508 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116559 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.title | On some local cohomology modules | |
| dc.type | text |