Submanifolds with Ample Normal Bundle
Résumé
We construct germs of complex manifolds of dimension m along projective submanifolds of dimension n with ample normal bundle and without non-constant meromorphic functions whenever m ≥ 2n. We also show that our methods do not allow the construction of similar examples when m < 2n by establishing an algebraicity criterion for foliations on projective spaces which generalizes a classical result by Van den Ven characterizing linear subspaces of projective spaces as the only submanifolds with split tangent sequence.
Domaines
Mathématiques [math]| Origine | Fichiers produits par l'(les) auteur(s) |
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