Approximation diophantienne dans les corps de series en plusieurs variables

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We give here a result of diophantine approximation between $Ø_N$, the ring of power series in several variables, and the completion of the valuation ring that dominates $Ø_N$ for the $\m$-adic topology. We deduce from this that the Artin function of a homogenous polynomial in two variables is bounded by an affine function, which can be interpreted in term of a Lojasiewicz inequality on the wedges space.
to appear in Annales de l'Institut Fourier, few changes following referee's comments

Keywords

Algebraic Geometry, Complex Variables, 14B05, 32S99, 11J25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/94861

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0505679
 http://arxiv.org/abs/math/0505679

Collections

arXiv