Looking out for stable syzygy bundles
| dc.creator | Brenner, Holger | |
| dc.date | 2003-11-19 | |
| dc.date | 2007-08-01 | |
| dc.date.accessioned | 2026-07-07T08:21:25Z | |
| dc.date.available | 2026-07-07T08:21:25Z | |
| dc.description | We study (slope-)stability properties of syzygy bundles on a projective space P^N given by ideal generators of a homogeneous primary ideal. In particular we give a combinatorial criterion for a monomial ideal to have a semistable syzygy bundle. Restriction theorems for semistable bundles yield the same stability results on the generic complete intersection curve. From this we deduce a numerical formula for the tight closure of an ideal generated by monomials or by generic homogeneous elements in a generic two-dimensional complete intersection ring. | |
| dc.description | This paper contains an appendix by Georg Hein: Semistability of the general syzygy bundle. The new version is quite new | |
| dc.identifier | https://arxiv.org/abs/math/0311333 | |
| dc.identifier | http://arxiv.org/abs/math/0311333 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135350 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A35; 13D02; 14D20; 14H60; 14J60 | |
| dc.title | Looking out for stable syzygy bundles | |
| dc.type | text |