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

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 th...

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Published in:arXiv.org 2014-11
Main Authors: Dethloff, Gerd, Thai Do Duc, Trang Pham Nguyen Thu
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Language:English
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Complex variables
Hyperspaces
Intersections
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Thai Do Duc
Trang Pham Nguyen Thu
description 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.
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subjects Complex variables
Hyperspaces
Intersections
title Normal Families of Meromorphic Mappings of Several Complex Variables for Moving Hypersurfaces in a Complex Projective Space
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