On the Picard number of almost Fano threefolds with pseudo-index >1

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dc.creatorCasagrande, C.
dc.creatorJahnke, P.
dc.creatorRadloff, I.
dc.date2006-03-03
dc.date.accessioned2026-07-07T07:06:30Z
dc.date.available2026-07-07T07:06:30Z
dc.descriptionWe study Gorenstein almost Fano threefolds X with canonical singularities and pseudoindex > 1. We show that the maximal Picard number of X is 10 in general, 3 if X is Fano, and 8 if X is toric. Moreover, we characterize the boundary cases. In the Fano case, we prove that the generalized Mukai conjecture holds.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0603090
dc.identifierhttp://arxiv.org/abs/math/0603090
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110048
dc.subjectAlgebraic Geometry
dc.subject14J30, 14J45, 14E30, 14M25
dc.titleOn the Picard number of almost Fano threefolds with pseudo-index >1
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