Ample vector bundles and branched coverings

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dc.creatorPeternell, Thomas
dc.creatorSommese, Andrew J.
dc.date1999-07-13
dc.date.accessioned2026-07-07T05:29:53Z
dc.date.available2026-07-07T05:29:53Z
dc.descriptionGiven a covering f: X \to Y of projective manifolds, we consider the vector bundle E on Y given as the dual of f_*(Ø_X) / Ø_Y. This vector bundles often has positivity properties, e.g. E is ample when Y is projective space by a theorem of Lazarsfeld. In general however E will not be ample due to the geometry of Y. We prove various results when E is spanned, nef or generically nef, under some assumptions on the base Y.
dc.descriptionLaTeX2e, 26 pages
dc.identifierhttps://arxiv.org/abs/math/9907081
dc.identifierhttp://arxiv.org/abs/math/9907081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78815
dc.subjectAlgebraic Geometry
dc.subject14E20, 14J60
dc.titleAmple vector bundles and branched coverings
dc.typetext

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