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

Published online by Cambridge University Press:  22 January 2016

Katsutoshi Yamanoi
Katsutoshi Yamanoi*
Affiliation:
Research Institute for Mathematical Sciences, Kyoto University, Oiwake-cho, Sakyo-ku, Kyoto, 606-8502, Japan, ya@kurims.kyoto-u.ac.jp
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Abstract

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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 ℂm to a smooth complex projective variety. Then we shall apply this to “the Second Main Theorem” in Nevanlinna theory in several complex variables.

Keywords

32H30
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 173 , 2004 , pp. 23 - 63
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2004

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