Existence of coherent systems
| dc.creator | Bigas, Montserrat Teixidor i | |
| dc.date | 2006-06-14 | |
| dc.date.accessioned | 2026-07-07T07:17:17Z | |
| dc.date.available | 2026-07-07T07:17:17Z | |
| dc.description | A coherent system of type (r,d,k) on a curve C is a pair (E,V) where E is a vector bundle of rank r and degree d and V is a space of sections of E of dimension k. There is a condition of stability on coherent systems that depends on a parameter αand allows to construct moduli spaces for such pairs. This paper shows non-emptiness of these moduli spaces when k>r and some mild conditions on the degree and genus are satisfied. | |
| dc.description | To appear in International Journal of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0606348 | |
| dc.identifier | http://arxiv.org/abs/math/0606348 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113891 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60, 14F05 | |
| dc.title | Existence of coherent systems | |
| dc.type | text |