Fano 3-folds of index 2

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dc.creatorBrown, Gavin
dc.creatorSuzuki, Kaori
dc.date2006-11-28
dc.date.accessioned2026-07-07T07:33:26Z
dc.date.available2026-07-07T07:33:26Z
dc.descriptionWe study Fano 3-folds with Fano index 2: that is, 3-folds X with rank Pic(X) = 1, Q-factorial terminal singularities and -K_X = 2A for an ample Weil divisor A. We give a first classification of all possible Hilbert series of such polarised varieties X,A and deduce both the nonvanishing of H^0(X,-K_X) and the sharp bound (-K_X)^3 >= 8/165. We list families that can be realised in codimension up to 4.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0611862
dc.identifierhttp://arxiv.org/abs/math/0611862
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119454
dc.subjectAlgebraic Geometry
dc.subject14J30
dc.titleFano 3-folds of index 2
dc.typetext

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