Uniqueness Theorems for Meromorphic Mappings with Few Targets

Details Uniqueness Theorems for Meromorphic Mappings with Few Targets Uniqueness Theorems for Meromorphic Mappings with Few Targets

2007-11-12

arxiv.org/abs/0711.1720v1

Mathematics

Complex Variables

Scientific paper

The purpose of this article is to show uniqueness theorems for meromorphic mappings of C^m to CP^n with few hyperplanes H_j, j=1,...,q. It is well known that uniqueness theorems hold for q \geq 3n+2. In this paper we show that for every nonnegative integer c there exists a positive integer N(c), depending only on c in an explicit way, such that uniqueness theorems hold if q\geq (3n+2 -c) and n\geq N(c). Furthermore, we also show that the coefficient of n in the formula of q can be replaced by a number which is strictly smaller than 3 for all n>>0. At the same time, a big number of recent uniqueness theorems are generalized considerably.

Affiliated with

Also associated with

No associations

Rating

Uniqueness Theorems for Meromorphic Mappings with Few Targets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Uniqueness Theorems for Meromorphic Mappings with Few Targets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Uniqueness Theorems for Meromorphic Mappings with Few Targets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-128435