Sur une conjecture de Mukai

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dc.creatorBonavero, L.
dc.creatorCasagrande, C.
dc.creatorDebarre, O.
dc.creatorDruel, S.
dc.date2002-04-25
dc.date.accessioned2026-07-07T04:48:05Z
dc.date.available2026-07-07T04:48:05Z
dc.descriptionGeneralizing a question of Mukai, we conjecture that a Fano manifold $X$ with Picard number $ρ_X$ and pseudo-index $ι_X$ satisfies $ρ_X (ι_X-1) \le \dim(X)$. We prove this inequality in several situations: $X$ is a Fano manifold of dimension $\le 4$, $X$ is a toric Fano manifold of dimension $\le 7$ or $X$ is a toric Fano manifold of arbitrary dimension with $ι_X \ge \dim(X)/3+1$. Finally, we offer a new approach to the general case.
dc.description21 pages, in french
dc.identifierhttps://arxiv.org/abs/math/0204314
dc.identifierhttp://arxiv.org/abs/math/0204314
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63915
dc.subjectAlgebraic Geometry
dc.subject14J45, 14E30, 14M25
dc.titleSur une conjecture de Mukai
dc.typetext

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