Propriétés d'extension et applications séparément holomorphes dans les espaces faiblement hyperboliques

• Autorzy: Omar Alehyane , Hichame Amal
• Języki publikacji: FR EN

Abstrakty

EN

The goal of this paper is to study the relationship between the hyperbolicity of complex spaces, extension of holomorphic mappings and the Hartogs theorem for separately holomorphic mappings. We prove that a complex space with a weak hyperbolicity which has the 𝔻*-extension property has the Hartogs extension property. As a consequence we give a generalization of the big Picard theorem. Finally we generalize Terada's theorem for separately holomorphic mappings.

Kategorie tematyczne

• 32Q45: Hyperbolic and Kobayashi hyperbolic manifolds
• 32H25: Picard-type theorems and generalizations
• 32H04: Meromorphic mappings
• 32H02: Holomorphic mappings, (holomorphic) embeddings and related questions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 81
• Numer: 3
• Strony: 201-215

Daty

wydano

2003

Twórcy

autor

Omar Alehyane

• Département de Mathématiques, Faculté des Sciences, Université Chouaib Doukkali, B.P. 20, El Jadida, Maroc

autor

Hichame Amal

• Département de Mathématiques, Faculté des Sciences, Université Mohammed V, B.P 1014, Rabat, Maroc

Identyfikatory

DOI

10.4064/ap81-3-1