The Second Main Theorem for Holomorphic Curves into Semi-Abelian Varieties II

Abstract

We establish the second main theorem with the best truncation level one for an entire holomorphic curve $f:\C \to A$ into a semi-abelian variety $A$ and an arbitrary effective reduced divisor $D$ on $A$; the low truncation level is important for applications. We will actually prove this for the jet lifts of $f$. Finally we give some applications, including the solution of a problem posed by Mark Green.

37 pages, LaTeX. In this version the Main theorem has been generalized: Now D may be a subvariety of any codimension and need not be a divisor