A splitting criterion for vector bundles on blowing ups of the plane

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dc.creatorBallico, Edoardo
dc.creatorMalaspina, Francesco
dc.date2008-04-01
dc.date.accessioned2026-07-07T09:29:38Z
dc.date.available2026-07-07T09:29:38Z
dc.descriptionLet $f_s: X_s \to {\bf {P}}^2$ be the blowing-up of $s$ distinct points and $E$ a vector bundle on $X_s$. Here we give a cohomological criterio which is equivalent to $E \cong f_s^\ast (A)$ with $A$ a direct sum of line bundles. We also some cohomological characterizations of very particular rank 2 vector bundles on ${\bf {P}}^2$.
dc.description6 pages, no figures
dc.identifierhttps://arxiv.org/abs/0804.0098
dc.identifierhttp://arxiv.org/abs/0804.0098
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157860
dc.subjectAlgebraic Geometry
dc.subject14J60
dc.titleA splitting criterion for vector bundles on blowing ups of the plane
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