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math.AG2005★ 2 cited
Approximation diophantienne dans les corps de series en plusieurs variables
Guillaume Rond
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 t…
math.AG2005
Series de Poincare motiviques geometrique et arithmetique d'un germe d'hypersurface irreductible quasi-ordinaire
Guillaume Rond
We give here a description of the motivic Poincare series in case of irreducible quasi-ordinary hypersurfaces in all dimension. We give an explicit formula in a particular case. Fi…
math.AC2005
Lemme d'Artin-Rees, theoreme d'Izumi et fonction de Artin
Guillaume Rond
We interpret the Artin-Rees lemma and the Izumi theorem in term of Artin function and we obtain a stable version of the Artin-Rees lemma. We present different applications of these…