A connectedness result in positive characteristic
| dc.creator | Singh, Anurag K. | |
| dc.creator | Walther, Uli | |
| dc.date | 2006-03-09 | |
| dc.date.accessioned | 2026-07-07T07:06:44Z | |
| dc.date.available | 2026-07-07T07:06:44Z | |
| dc.description | Let $(R,m)$ be a complete local ring of positive dimension, which contains a separably closed coefficient field of prime characteristic. Using a vanishing theorem of Peskine-Szpiro, Lyubeznik proved that every element of the local cohomology module $H^1_m(R)$ is killed by an iteration of the Frobenius map if and only if $R$ has dimension at least two and its punctured spectrum is connected in the Zariski topology. We give a simple proof of this theorem and of a variation which, more generally, yields the number of connected components. | |
| dc.identifier | https://arxiv.org/abs/math/0603234 | |
| dc.identifier | http://arxiv.org/abs/math/0603234 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110135 | |
| dc.subject | Commutative Algebra | |
| dc.title | A connectedness result in positive characteristic | |
| dc.type | text |