أعرض تسجيلة المادة بشكل مبسط

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


الملفات في هذه المادة

الملفات الحجم الصيغة عرض

لا توجد أي ملفات مرتبطة بهذه المادة.

هذه المادة تبدو في المجموعات التالية:

أعرض تسجيلة المادة بشكل مبسط