Vector bundles on curves and generalized theta functions: recent results and open problems

dc.creatorBeauville, Arnaud
dc.date1994-04-05
dc.date.accessioned2026-07-07T09:06:03Z
dc.date.available2026-07-07T09:06:03Z
dc.descriptionRiemann surface carries a natural line bundle, the determinant bundle. The space of sections of this line bundle (or its multiples) constitutes a natural non-abelian generalization of the spaces of theta functions on the Jacobian. There has been much progress in the last few years towards a better understanding of these spaces, including a rigorous proof of the celebrated Verlinde formula which gives their dimension. This survey paper tries to explain what is now known and what remains open.
dc.description15 pages, Plain TeX
dc.identifierhttps://arxiv.org/abs/alg-geom/9404001
dc.identifierhttp://arxiv.org/abs/alg-geom/9404001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149881
dc.subjectAlgebraic Geometry
dc.titleVector bundles on curves and generalized theta functions: recent results and open problems
dc.typetext

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