Indecomposable canonical modules and connectedness
| dc.creator | Hochster, Melvin | |
| dc.creator | Huneke, Craig | |
| dc.date | 2002-11-11 | |
| dc.date.accessioned | 2026-07-07T04:52:49Z | |
| dc.date.available | 2026-07-07T04:52:49Z | |
| dc.description | The purpose of this paper is to prove a generalization of Faltings' connectedness theorem which asserts that, for a complete local domain R of dimension n, the punctured spectrum of R/I is connected if the ideal I is generated by at most n-2 elements. We replace the condition that R be a domain by the requirement that the canonical module of R be indecomposable. We also study equivalent conditions for the canonical module to be indecomposable; under mild conditions this is equivalent to the S_2-ification of the local ring to be local. | |
| dc.identifier | https://arxiv.org/abs/math/0211172 | |
| dc.identifier | http://arxiv.org/abs/math/0211172 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65614 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D45 (13E05 13H99 13J10) | |
| dc.title | Indecomposable canonical modules and connectedness | |
| dc.type | text |