Algebro-geometric version of Nevanlinna's lemma on logarithmic derivative and applications

Abstract

In this paper we shall establish some generalization of Nevanlinna's Lemma on Logarithmic Derivative to the case of meromorphic maps from a finite analytic covering space over the $m$-dimensional complex affine space ${\mathbb C}^{m}$ to a smooth complex projective variety. Then we shall apply this to "the Second Main Theorem" in Nevanlinna theory in several complex variables.