Algorithms for graded injective resolutions and local cohomology over semigroup rings
| dc.creator | Helm, David | |
| dc.creator | Miller, Ezra | |
| dc.date | 2003-09-16 | |
| dc.date.accessioned | 2026-07-07T05:01:09Z | |
| dc.date.available | 2026-07-07T05:01:09Z | |
| dc.description | Let Q be an affine semigroup generating Z^d, and fix a finitely generated Z^d-graded module M over the semigroup algebra k[Q] for a field k. We provide an algorithm to compute a minimal Z^d-graded injective resolution of M up to any desired cohomological degree. As an application, we derive an algorithm computing the local cohomology modules H^i_I(M) supported on any monomial (that is, Z^d-graded) ideal I. Since these local cohomology modules are neither finitely generated nor finitely cogenerated, part of this task is defining a finite data structure to encode them. | |
| dc.description | 22 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0309256 | |
| dc.identifier | http://arxiv.org/abs/math/0309256 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68574 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13P99, 13C11, 13D45, 14M25, 13D02 | |
| dc.title | Algorithms for graded injective resolutions and local cohomology over semigroup rings | |
| dc.type | text |