Moduli spaces of coherent systems of small slope on algebraic curves
| dc.creator | Bradlow, S. B. | |
| dc.creator | Garcia-Prada, O. | |
| dc.creator | Mercat, V. | |
| dc.creator | Munoz, V. | |
| dc.creator | Newstead, P. E. | |
| dc.date | 2007-07-06 | |
| dc.date | 2007-12-10 | |
| dc.date.accessioned | 2026-07-07T08:47:50Z | |
| dc.date.available | 2026-07-07T08:47:50Z | |
| dc.description | Let $C$ be an algebraic curve of genus $g\ge2$. A coherent system on $C$ consists of a pair $(E,V)$, where $E$ is an algebraic vector bundle over $C$ of rank $n$ and degree $d$ and $V$ is a subspace of dimension $k$ of the space of sections of $E$. The stability of the coherent system depends on a parameter $α$. We study the geometry of the moduli space of coherent systems for $0<d\le2n$. We show that these spaces are irreducible whenever they are non-empty and obtain necessary and sufficient conditions for non-emptiness. | |
| dc.description | 27 pages; minor presentational changes and typographical corrections | |
| dc.identifier | https://arxiv.org/abs/0707.0983 | |
| dc.identifier | http://arxiv.org/abs/0707.0983 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143741 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60, 14D20, 14H51 | |
| dc.title | Moduli spaces of coherent systems of small slope on algebraic curves | |
| dc.type | text |