Por favor, use este identificador para citar o enlazar a este item:
http://hdl.handle.net/10261/2493
COMPARTIR / EXPORTAR:
SHARE BASE | |
Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL | DATACITE | |
Título: | Moduli spaces of coherent systems of small slope on algebraic curves |
Autor: | Bradlow, Steven B.; García Prada, Oscar; Mercat, V.; Muñoz, Vicente; Newstead, P.E. | Palabras clave: | Algebraic curves Moduli of vector bundles Coherent systems Brill-Noether loci |
Fecha de publicación: | 6-jul-2007 | Citación: | arXiv:0707.0983v1 | Resumen: | 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. | URI: | http://hdl.handle.net/10261/2493 |
Aparece en las colecciones: | (ICMAT) Artículos |
Ficheros en este ítem:
Fichero | Descripción | Tamaño | Formato | |
---|---|---|---|---|
Bradlow.pdf | 498,63 kB | Adobe PDF | Visualizar/Abrir |
CORE Recommender
Page view(s)
357
checked on 23-abr-2024
Download(s)
210
checked on 23-abr-2024
Google ScholarTM
Check
NOTA: Los ítems de Digital.CSIC están protegidos por copyright, con todos los derechos reservados, a menos que se indique lo contrario.