Non-emptiness of moduli spaces of coherent systems
| dc.creator | Brambila-Paz, L. | |
| dc.date | 2004-12-14 | |
| dc.date | 2007-11-15 | |
| dc.date.accessioned | 2026-07-07T08:43:00Z | |
| dc.date.available | 2026-07-07T08:43:00Z | |
| dc.description | Let X be a general smooth projective algebraic curve of genus g>1. We prove that the moduli space G(α:n,d,k) of $α$-stable coherent systems of type (n,d,k) over X is empty if k>n and the Brill-Noether number is negative. Moreover, if the Brill-Noether number is positive and <g and for some $α>0$, G(α:n,d,k) is non-empty G(α:n,d,k) is non-empty for all $α>0$ and G(α:n,d,k)= G(α':n,d,k) for all $α,α'>0$ and the generic element is generated. | |
| dc.description | Revised version. To appear in Internat. J. Math 22 pages, AMS-Tex | |
| dc.identifier | https://arxiv.org/abs/math/0412285 | |
| dc.identifier | http://arxiv.org/abs/math/0412285 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142165 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60; 14J60 | |
| dc.title | Non-emptiness of moduli spaces of coherent systems | |
| dc.type | text |