Last syzygies of 1-generic spaces
| dc.creator | Bothmer, Hans-Christian v. | |
| dc.date | 2003-07-28 | |
| dc.date.accessioned | 2026-07-07T04:59:56Z | |
| dc.date.available | 2026-07-07T04:59:56Z | |
| dc.description | Consider a determinantal variety X of expected codimension definend by the maximal minors of a matrix M of linear forms. Eisenbud and Popescu have conjectured that 1-generic matrices M are characterised by the property that the syzygy ideals I(s) of all last syzygies s of X coincide with I_X. In this note we prove a geometric version of this characterization, i.e. that M is 1-generic if and only if the syzygy varieties Syz(s)=V(I(s)) of all last syzyzgies have the same support as X. | |
| dc.description | AMS Latex, 11 Pages | |
| dc.identifier | https://arxiv.org/abs/math/0307361 | |
| dc.identifier | http://arxiv.org/abs/math/0307361 | |
| dc.identifier | Journal of Algebra, Volume 278, Issue 1, 2004, pp 360-369 | |
| dc.identifier | doi:10.1016/j.jalgebra.2004.02.032 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68188 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D02; 14M12 | |
| dc.title | Last syzygies of 1-generic spaces | |
| dc.type | text |