Generalized Mukai conjecture for special Fano varieties

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dc.creatorAndreatta, Marco
dc.creatorChierici, Elena
dc.creatorOcchetta, Gianluca
dc.date2003-09-30
dc.date.accessioned2026-07-07T05:01:32Z
dc.date.available2026-07-07T05:01:32Z
dc.descriptionLet X be a Fano variety of dimension n, pseudoindex i_X and Picard number ρ_X. A generalization of a conjecture of Mukai says that ρ_X(i_X-1)\le n. We prove that the conjecture holds if: a) X has pseudoindex i_X \ge \frac{n+3}{3} and either has a fiber type extremal contraction or does not have small extremal contractions b) X has dimension five.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0309473
dc.identifierhttp://arxiv.org/abs/math/0309473
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68706
dc.subjectAlgebraic Geometry
dc.subject14J45, 14E30
dc.titleGeneralized Mukai conjecture for special Fano varieties
dc.typetext

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