On Lyubeznik's invariants and endomorphisms of local cohomology modules
| dc.creator | Schenzel, Peter | |
| dc.date | 2007-04-16 | |
| dc.date | 2009-05-07 | |
| dc.date.accessioned | 2026-07-07T13:11:57Z | |
| dc.date.available | 2026-07-07T13:11:57Z | |
| dc.description | Let $(R, \mathfrak m)$ denote an $n$-dimensional Gorenstein ring. For an ideal $I \subset R$ of height $c$ we are interested in the endomorphism ring $B = \Hom_R(H^c_I(R), H^c_I(R)).$ It turns out that $B$ is a commutative ring. In the case of $(R,\mathfrak m)$ a regular local ring containing a field $B$ is a Cohen-Macaulay ring. Its properties are related to the highest Lyubeznik number $l = \dim_k \Ext_R^d(k,H^c_I(R)).$ In particular $R \simeq B$ if and only if $l = 1.$ Moreover, we show that the natural homomorphism $\Ext_R^d(k, H^c_I(R)) \to k$ is non-zero. | |
| dc.description | Revised, extended and corrected version | |
| dc.identifier | https://arxiv.org/abs/0704.2007 | |
| dc.identifier | http://arxiv.org/abs/0704.2007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229444 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13D45; 14B15 | |
| dc.title | On Lyubeznik's invariants and endomorphisms of local cohomology modules | |
| dc.type | text |