Generalized Demailly-Semple jet bundles and holomorphic mappings into complex manifolds

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Motivated by the Green-Griffiths conjecture, we study maximal rank holomorphic maps from $\C^p$ into complex manifolds. When $p>1$ such maps should in principle be more tractable than entire curves. We extend to this setting the jet-bundles techniques introduced by Semple, Green-Griffiths and Demailly. Our main application is the non-existence of maximal rank holomorphic maps from $\C^2$ into the very general degree $d$ hypersurface in $\bP^4$, as soon as $d\geq 93.$
31 pages

Keywords

Algebraic Geometry, Complex Variables, 14J70; 32Q45

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/172545

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.4911
 http://arxiv.org/abs/0810.4911

Collections

arXiv