Non-vanishing theorems for rank 2 bundles on P^3: a simple approach without the speciality lemma

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dc.creatorValabrega, Paolo
dc.creatorValenzano, Mario
dc.date2007-10-11
dc.date2008-01-22
dc.date.accessioned2026-07-07T08:55:26Z
dc.date.available2026-07-07T08:55:26Z
dc.descriptionThe paper investigates vanishing conditions on the first cohomology module of a normalized rank 2 vector bundle E on P^3 which force E to split, and finds therefore strategic levels of non-vanishing for a non-split bundle. The present conditions improve other conditions known in the literature and are obtained with simple computations on the Euler characteristic function, avoiding the speciality lemma, Barth's restriction theorem, the discriminat property, and other heavy tools.
dc.description18 pages, 2 figures, section 2 and 4 revisited, section 3 expanded, new introduction and abstract
dc.identifierhttps://arxiv.org/abs/0710.2242
dc.identifierhttp://arxiv.org/abs/0710.2242
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146272
dc.subjectAlgebraic Geometry
dc.subject14F05
dc.titleNon-vanishing theorems for rank 2 bundles on P^3: a simple approach without the speciality lemma
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