Submanifolds with ample normal bundles and a conjecture of Hartshorne - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: The Hartshorne conjecture predicts that two submanifolds X and Y in aprojective manifold Z with ample normal bundles meets as soon as dim X + dim Yis at least dim Z. We mostly assume slightly stronger that one of the normalbundles is positive in the sense of Griffiths. We observe that the conjectureholds generically, relate it to question on cones of cycles and verify it invarious cases.



Author: Thomas Peternell

Source: https://arxiv.org/







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