Freeness of adjoint linear systems on threefolds with terminal Gorenstein singularities or some quotient singularities

dc.creatorKakimi, Nobuyuki
dc.date1998-12-24
dc.date2000-04-17
dc.date.accessioned2026-07-07T05:27:21Z
dc.date.available2026-07-07T05:27:21Z
dc.descriptionWe generalize the result of Kawamata concerning the strong version of Fujita's freeness conjecture for smooth 3-folds to some singular cases, namely, Gorenstein terminal singularities and quotient singularities of type 1/r(1,1,1) and of type 1/r(1,1,-1). We generalize furthermore the result of that to projective threefolds with only canonical singularities for canonical and not terminal singularities. It turns out that the estimates in the first three cases are better than the one for the smooth case, which it is not in the fourth case. We also give explicit examples which show the estimate in the fourth case is necessarily worse than the one for the smooth case.
dc.description21 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/9812139
dc.identifierhttp://arxiv.org/abs/math/9812139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77891
dc.subjectAlgebraic Geometry
dc.titleFreeness of adjoint linear systems on threefolds with terminal Gorenstein singularities or some quotient singularities
dc.typetext

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