The Second Main Theorem for Holomorphic Curves into Semi-Abelian Varieties
Complex Variables
2009-10-31 v2 Algebraic Geometry
Abstract
Let f:C -> A be an entire holomorphic curve into a semi-Abelian variety A. Then the Zariski closure of f(C) is a translate of a semi-Abelian subvariety of A (logarithmic Bloch-Ochiai's theorem). The purpose of the present paper is to establish a quantitative version of the above result for such f i.e., the second main theorem and the defect relation.
Cite
@article{arxiv.math/9912086,
title = {The Second Main Theorem for Holomorphic Curves into Semi-Abelian Varieties},
author = {Junjiro Noguchi and Joerg Winkelmann and Katsutoshi Yamanoi},
journal= {arXiv preprint arXiv:math/9912086},
year = {2009}
}
Comments
LaTeX, 37 pages