Some effects of property $N_p$ on the higher normality and defining equations of nonlinearly normal varieties
| dc.creator | Kwak, Sijong | |
| dc.creator | Park, Euisung | |
| dc.date | 2004-01-05 | |
| dc.date | 2004-04-14 | |
| dc.date.accessioned | 2026-07-07T05:04:21Z | |
| dc.date.available | 2026-07-07T05:04:21Z | |
| dc.description | For a smooth projective variety $X\subset ¶^r$ embedded by the complete linear system, Property $N_p$ has been studied for a long time. On the other hand, Castelnuovo-Mumford regularity conjecture and related problems have been focused for a projective variety which is not necessarily linearly normal. This paper aims to explain the influence of Property $N_p$ on higher normality and defining equations of a smooth variety embedded by sub-linear system. Also we prove a claim about Property $N_p$ of surface scrolls which is a generalization of Green's work in \cite{Green} about Property $N_p$ for curves. | |
| dc.description | 18 pages, 2 tables | |
| dc.identifier | https://arxiv.org/abs/math/0401026 | |
| dc.identifier | http://arxiv.org/abs/math/0401026 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69772 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14N05 ; 16E05 ; 51N35 | |
| dc.title | Some effects of property $N_p$ on the higher normality and defining equations of nonlinearly normal varieties | |
| dc.type | text |