A note on Jets of Entire Curves in Semi-Abelian Varieties

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
6 pages, LaTeX

Keywords

Algebraic Geometry, Complex Variables, 14K20,32H02

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/64602

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0207266
 http://arxiv.org/abs/math/0207266

Collections

arXiv