Projective Contact Manifolds

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dc.creatorKebekus, Stefan
dc.creatorPeternell, Thomas
dc.creatorSommese, Andrew J.
dc.creatorWisniewski, Jaroslaw
dc.date1998-10-16
dc.date1999-09-27
dc.date.accessioned2026-07-07T05:26:29Z
dc.date.available2026-07-07T05:26:29Z
dc.descriptionWe prove that a projective contact manifold X with second Betti number at least 2 whose canonical bundle K_X is not nef, is always the projectivised tangent bundle P(T_Y) of a projective manifold Y. It is expected that the canonical bundle of a projective contact manifold is never nef; we prove this unless possibly K_X^2 = 0 and K_X is not numerically trivial. Moreover we study more generally nef subsheaves of rank 1 in the cotangent bundle which are proportional to the canonical bundle.
dc.descriptionLaTeX 2e, revised version
dc.identifierhttps://arxiv.org/abs/math/9810102
dc.identifierhttp://arxiv.org/abs/math/9810102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77567
dc.subjectAlgebraic Geometry
dc.subject14M99 (Primary) 53C55 53C25 32J18 (Secondary)
dc.titleProjective Contact Manifolds
dc.typetext

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