Approximation diophantienne dans les corps de series en plusieurs variables
Abstract
We give here a result of diophantine approximation between N, the ring of power series in several variables, and the completion of the valuation ring that dominates N 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.
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