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2004 Algebro-geometric version of Nevanlinna's lemma on logarithmic derivative and applications
Katsutoshi Yamanoi
Nagoya Math. J. 173(none): 23-63 (2004).

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.

Citation

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Katsutoshi Yamanoi. "Algebro-geometric version of Nevanlinna's lemma on logarithmic derivative and applications." Nagoya Math. J. 173 23 - 63, 2004.

Information

Published: 2004
First available in Project Euclid: 27 April 2005

zbMATH: 1058.32010
MathSciNet: MR2041755

Subjects:
Primary: 32H30

Rights: Copyright © 2004 Editorial Board, Nagoya Mathematical Journal

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