Rationality and Poincare families for vector bundles with extra structure on a curve

dc.creatorHoffmann, Norbert
dc.date2005-11-27
dc.date.accessioned2026-07-07T08:14:57Z
dc.date.available2026-07-07T08:14:57Z
dc.descriptionIterated Grassmannian bundles over moduli stacks of vector bundles on a curve are shown to be birational to an affine space times a moduli stack of degree 0 vector bundles, following the method of King and Schofield. Applications include the birational type of some Brill-Noether loci, of moduli schemes for vector bundles with parabolic structure or with level structure and for A. Schmitt's decorated vector bundles. A further consequence concerns the existence of Poincare families on finite coverings of the moduli schemes.
dc.description19 pages AMSLaTeX
dc.identifierhttps://arxiv.org/abs/math/0511656
dc.identifierhttp://arxiv.org/abs/math/0511656
dc.identifierInt. Math. Res. Not. (Vol. 2007), article ID rnm010 (29 pages)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133313
dc.subjectAlgebraic Geometry
dc.subject14H60 (Primary) 14E08 (Secondary)
dc.titleRationality and Poincare families for vector bundles with extra structure on a curve
dc.typetext

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