Bockstein homomorphisms in local cohomology
| dc.creator | Singh, Anurag K. | |
| dc.creator | Walther, Uli | |
| dc.date | 2009-01-06 | |
| dc.date | 2009-01-08 | |
| dc.date.accessioned | 2026-07-07T12:27:06Z | |
| dc.date.available | 2026-07-07T12:27:06Z | |
| dc.description | Let $R$ be a polynomial ring in finitely many variables over the integers, and fix an ideal $I$ of $R$. We prove that for all but finitely prime integers $p$, the Bockstein homomorphisms on local cohomology, $H^k_I(R/pR)\to H^{k+1}_I(R/pR)$, are zero. This provides strong evidence for Lyubeznik's conjecture which states that the modules $H^k_I(R)$ have a finite number of associated prime ideals. | |
| dc.identifier | https://arxiv.org/abs/0901.0688 | |
| dc.identifier | http://arxiv.org/abs/0901.0688 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215098 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D45; 13F20, 13F55. | |
| dc.title | Bockstein homomorphisms in local cohomology | |
| dc.type | text |