Normal Families of Meromorphic Mappings of Several Complex Variables for Moving Hypersurfaces in a Complex Projective Space

Gerd Dethloff (1) , Thai Do Duc (2) , Trang Pham Nguyen Thu (2)

1 LMBA - Laboratoire de Mathématiques de Bretagne Atlantique
2 Hanoi National University of Education - Department of Mathematics and Informatics

The main aim of this article is to give some sufficient conditions for a family of meromorphic mappings on a domain D in C^n into P^N(C) to be meromorphically normal if they satisfy only some very weak conditions with respect to moving hypersurfaces in P^N(C), namely that their intersections with these moving hypersurfaces, which may moreover depend on the meromorphic maps, are in some sense uniform. Our results generalise and complete previous results in this area, especially the works of Fujimoto, Tu, Tu-Li, Mai-Thai-Trang and the recent work of Quang-Tan.

Mots clés: Meromorphic map; normal family; value distribution theory.; value distribution theory

Domaines: Variables complexes [math.CV]

Gerd Dethloff, Thai Do Duc, Trang Pham Nguyen Thu. Normal Families of Meromorphic Mappings of Several Complex Variables for Moving Hypersurfaces in a Complex Projective Space. 2013. ⟨hal-00769968v1⟩