Regularity of smooth curves in biprojective spaces
| dc.creator | Lozovanu, Victor | |
| dc.date | 2008-11-14 | |
| dc.date.accessioned | 2026-07-07T10:18:28Z | |
| dc.date.available | 2026-07-07T10:18:28Z | |
| dc.description | Maclagan and Smith \cite{MaclaganSmith} developed a multigraded version of Castelnuovo-Mumford regularity. Based on their definition we will prove in this paper that for a smooth curve $C\subseteq ¶^a\times¶^b$ $(a, b\geq 2)$ of bidegree $(d_1,d_2)$ with nondegenerate birational projections the ideal sheaf $\mathcal{I}_{C|¶^a\times¶^b}$ is $(d_2-b+1,d_1-a+1)$-regular. We also give an example showing that in some cases this bound is the best possible. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0811.2407 | |
| dc.identifier | http://arxiv.org/abs/0811.2407 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174195 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 14H45; 14F05 | |
| dc.title | Regularity of smooth curves in biprojective spaces | |
| dc.type | text |