Please use this identifier to cite or link to this item:
http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2493Full metadata record
| DC Field | Value | Language |
|---|---|---|
| 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 | - |
| Appears in Collections: | Digital Csic | |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.