Approximation diophantienne dans les corps de series en plusieurs variables
Algebraic Geometry
2007-05-23 v2 Complex Variables
Abstract
We give here a result of diophantine approximation between , the ring of power series in several variables, and the completion of the valuation ring that dominates for the -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.
Cite
@article{arxiv.math/0505679,
title = {Approximation diophantienne dans les corps de series en plusieurs variables},
author = {Guillaume Rond},
journal= {arXiv preprint arXiv:math/0505679},
year = {2007}
}
Comments
to appear in Annales de l'Institut Fourier, few changes following referee's comments