A Uniqueness Theorem of Meromorphic Maps and a Generalization of the Borel’s Lemma

Abstract

This paper gives a generalization of the classical Borel’s Lemma. Then as an application of this generalized Borel’s Lemma, a uniqueness theorem for two linearly non-degenerate meromorphic maps of ℂm into ℙn(ℂ) (n ≥ 2) sharing 2n + 2 hyperplanes in general position is proved.