Laminations dans les espaces projetifs complexes

Bertrand Deroin

doi:10.1017/S1474748007000175

Laminations dans les espaces projetifs complexes

Bertrand Deroin

Université Paris-Saclay

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We prove holomorphic immersion theorems in a finite dimensional complex projective space for kählerian non-compact manifolds and for laminations by complex manifolds that carry a line bundle of positive curvature. In particular, we prove that on a Riemann surfaces lamination of a compact space, the space of meromorphic functions separates points if and only if every foliation cycle is non homologous to 0.

langue originale	Français
Pages (de - à)	67-91
Nombre de pages	25
journal	Journal of the Institute of Mathematics of Jussieu
Volume	7
Numéro de publication	1
Les DOIs	https://doi.org/10.1017/S1474748007000175
état	Publié - 1 janv. 2008
Modification externe	Oui

mots-clés

Embedding theorems
Foliations
Kähler manifolds
Meromorphic functions
Series of holomorphic functions

Accès au document

10.1017/S1474748007000175

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Lien vers la publication dans Scopus

Contient cette citation

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KW - Foliations

KW - Kähler manifolds

KW - Meromorphic functions

KW - Series of holomorphic functions

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