Cofiniteness and associated primes of local cohomology modules
| dc.creator | Marley, Thomas | |
| dc.creator | Vassilev, Janet C. | |
| dc.date | 2002-09-17 | |
| dc.date.accessioned | 2026-07-07T06:29:38Z | |
| dc.date.available | 2026-07-07T06:29:38Z | |
| dc.description | Let R be a regular local ring of dimension d, I an ideal of R, and M a finitely generated R-module of dimension n. We prove that the set of associated primes of Ext^i_R(R/I,H^j_I(M)) is finite for all i and j in the following cases: (1) dim M\le 3; (2) dim R\le 4; (3) dim M/IM \le 2 and M satisfies Serre's condition S_{n-3}; (4) dim M/IM\le 3, R is unramified, and M is faithful and satisfies S_{n-3}. We also prove that if dim R/I\ge 2 and the punctured spectrum of R/I is disconnected then H^{d-1}_I(R) is not I-cofinite. This generalizes a result due to Huneke and Koh. | |
| dc.description | 12 pages; accepted May 2002 for publication in Journal of Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0209216 | |
| dc.identifier | http://arxiv.org/abs/math/0209216 | |
| dc.identifier | Journal of Algebra 256 (2002), 180-193 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98100 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D45 | |
| dc.title | Cofiniteness and associated primes of local cohomology modules | |
| dc.type | text |