A note on Jets of Entire Curves in Semi-Abelian Varieties
Algebraic Geometry
2007-05-23 v1 Complex Variables
Abstract
We prove a product decomposition of the Zariski closure of the jet lifts of a holomorphic map f from C into a semi-abelian variety A, provided that f is of finite order. On the other hand, by giving an example of such a map f into a three dimensional abelian variety we show that this product decomposition does not hold in general; there was a gap in the proofs of some articles which claimed that such a product decomposition is always true.
Keywords
Cite
@article{arxiv.math/0207266,
title = {A note on Jets of Entire Curves in Semi-Abelian Varieties},
author = {Junjiro Noguchi and Joerg Winkelmann},
journal= {arXiv preprint arXiv:math/0207266},
year = {2007}
}
Comments
6 pages, LaTeX