Approximation diophantienne dans les corps de series en plusieurs variables

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dc.creatorRond, Guillaume
dc.date2005-05-31
dc.date2005-09-23
dc.date.accessioned2026-07-07T06:18:48Z
dc.date.available2026-07-07T06:18:48Z
dc.descriptionWe 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.
dc.descriptionto appear in Annales de l'Institut Fourier, few changes following referee's comments
dc.identifierhttps://arxiv.org/abs/math/0505679
dc.identifierhttp://arxiv.org/abs/math/0505679
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94861
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject14B05, 32S99, 11J25
dc.titleApproximation diophantienne dans les corps de series en plusieurs variables
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