The Second Main Theorem for Holomorphic Curves into Semi-Abelian Varieties
arXiv:math/9912086 · doi:10.1016/S0764-4442(00)01614-1
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.
LaTeX, 37 pages