Fano manifolds with long extremal rays

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dc.creatorAndreatta, Marco
dc.creatorOcchetta, Gianluca
dc.date2005-04-13
dc.date.accessioned2026-07-07T05:19:04Z
dc.date.available2026-07-07T05:19:04Z
dc.descriptionLet X be a Fano manifold of pseudoindex i_X whose Picard number is at least two and let R be an extremal ray of X with exceptional locus Exc(R). We prove an inequality which bounds the length of R in terms of i_X and of the dimension of Exc(R) and we investigate the border cases. In particular we classify Fano manifolds X of pseudoindex i_X obtained blowing up a smooth variety Y along a smooth subvariety T such that dim T < i_X.
dc.identifierhttps://arxiv.org/abs/math/0504265
dc.identifierhttp://arxiv.org/abs/math/0504265
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74884
dc.subjectAlgebraic Geometry
dc.subject14J45; 14E30
dc.titleFano manifolds with long extremal rays
dc.typetext

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