Submanifolds with ample normal bundles and a conjecture of Hartshorne

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dc.creatorPeternell, Thomas
dc.date2008-04-07
dc.date.accessioned2026-07-07T09:30:49Z
dc.date.available2026-07-07T09:30:49Z
dc.descriptionThe Hartshorne conjecture predicts that two submanifolds X and Y in a projective manifold Z with ample normal bundles meets as soon as dim X + dim Y is at least dim Z. We mostly assume slightly stronger that one of the normal bundles is positive in the sense of Griffiths. We observe that the conjecture holds generically, relate it to question on cones of cycles and verify it in various cases.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0804.1023
dc.identifierhttp://arxiv.org/abs/0804.1023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158245
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject14C99, 14F05, 32J25, 32F10
dc.titleSubmanifolds with ample normal bundles and a conjecture of Hartshorne
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