Submanifolds with Ample Normal Bundle - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Bulletin of the London Mathematical Society Année : 2023

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.
Fichier principal
Vignette du fichier
positive.pdf (223.99 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04040228 , version 1 (21-03-2023)

Identifiants

Citer

Maycol Falla Luza, Frank Loray, Jorge Vitório Pereira. Submanifolds with Ample Normal Bundle. Bulletin of the London Mathematical Society, In press, ⟨10.1112/blms.12955⟩. ⟨hal-04040228⟩
33 Consultations
19 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More