Castelnuovo-Mumford regularity of deficiency modules
| dc.creator | Brodmann, Markus | |
| dc.creator | Jahangiri, Maryam | |
| dc.creator | Linh, Cao Huy | |
| dc.date | 2009-01-06 | |
| dc.date | 2009-04-27 | |
| dc.date.accessioned | 2026-07-07T13:08:18Z | |
| dc.date.available | 2026-07-07T13:08:18Z | |
| dc.description | Let $d \in \N$ and let $M$ be a finitely generated graded module of dimension $\leq d$ over a Noetherian homogeneous ring $R$ with local Artinian base ring $R_0$. Let $\beg(M)$, $\gendeg(M)$ and $\reg(M)$ respectively denote the beginning, the generating degree and the Castelnuovo-Mumford regularity of $M$. If $i \in \N_0$ and $n \in Z$, let $d^i_M(n)$ denote the $R_0$-length of the $n$-th graded component of the $i$-th $R_+$-transform module $D^i_{R_+}(M)$ of $M$ and let $K^i(M)$ denote the $i$-th deficiency module of $M$. Our main result says, that $\reg(K^i(M))$ is bounded in terms of $\beg(M)$ and the "diagonal values" $d^j_M(-j)$ with $j = 0,..., d-1$. As an application of this we get a number of further bounding results for $\reg(K^i(M))$. | |
| dc.description | 25 pages, the previous version divided in two parts | |
| dc.identifier | https://arxiv.org/abs/0901.0690 | |
| dc.identifier | http://arxiv.org/abs/0901.0690 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228377 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13D45, 13D40 | |
| dc.title | Castelnuovo-Mumford regularity of deficiency modules | |
| dc.type | text |