Submanifolds with ample normal bundles and a conjecture of Hartshorne
Algebraic Geometry
2008-04-08 v1 Complex Variables
Abstract
The 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.
Keywords
Cite
@article{arxiv.0804.1023,
title = {Submanifolds with ample normal bundles and a conjecture of Hartshorne},
author = {Thomas Peternell},
journal= {arXiv preprint arXiv:0804.1023},
year = {2008}
}
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14 pages