| dc.creator |
Bradlow, Steven B. |
|
| dc.creator |
García Prada, Oscar |
|
| dc.creator |
Mercat, V. |
|
| dc.creator |
Muñoz, Vicente |
|
| dc.creator |
Newstead, P. E. |
|
| dc.date |
2007-12-03T18:40:22Z |
|
| dc.date |
2007-12-03T18:40:22Z |
|
| dc.date |
2007-07-06 |
|
| dc.date.accessioned |
2017-01-31T00:59:19Z |
|
| dc.date.available |
2017-01-31T00:59:19Z |
|
| dc.identifier |
arXiv:0707.0983v1 |
|
| dc.identifier |
http://hdl.handle.net/10261/2493 |
|
| dc.identifier.uri |
http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2493 |
|
| 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 $\alpha$. 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 |
Support was received from a grant from the European Scientific Exchange Programme of the Royal Society of London and the Consejo Superior de Investigaciones Científicas (15646) and a further grant from the Royal Society of London for an International Joint Project (2005/R3). The first author was partially supported by the National Science Foundation under grant DMS-0072073. The first, second and fourth authors were supported through MEC grant MTM2004-07090-C03-01 (Spain) and the fourth also through NSF grant DMS-0111298 (US). The fifth author was supported by the Academia
Mexicana de Ciencias during a visit to CIMAT, Guanajuato, Mexico. |
|
| dc.description |
Peer reviewed |
|
| dc.language |
eng |
|
| dc.relation |
Preprint |
|
| dc.rights |
openAccess |
|
| dc.subject |
Algebraic curves |
|
| dc.subject |
Moduli of vector bundles |
|
| dc.subject |
Coherent systems |
|
| dc.subject |
Brill-Noether loci |
|
| dc.title |
Moduli spaces of coherent systems of small slope on algebraic curves |
|
| dc.type |
Pre-print |
|