On Holomorphic Curves in Semi-Abelian Varieties
Number Theory
2016-09-06 v1
Abstract
The algebraic degeneracy of holomorphic curves in a semi-Abelian variety omitting a divisor is proved (Lang's conjecture generalized to semi-Abelian varieties) by making use of the {\it jet-projection method} and the logarithmic Wronskian jet differential after Siu-Yeung. We also prove a structure theorem for the locus which contains all possible image of non-constant entire holomorphic curves in a semi-Abelian variety omitting a divisor.
Cite
@article{arxiv.math/9604223,
title = {On Holomorphic Curves in Semi-Abelian Varieties},
author = {Junjiro Noguchi},
journal= {arXiv preprint arXiv:math/9604223},
year = {2016}
}