activity
20032005
most citedApproximation diophantienne dans les corps de series en plusieurs variables

2 citations · 2 across the 5 of their papers we have counts for

collaborators
Showing math.ACShow all

3 papers · 1 filter

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…

math.AC2004

Sur la linearite de la fonction de Artin

Guillaume Rond

We give here a counter-example to a conjecture of Spivakovsky. M. Spivakovsky conjectured that the function that appears in the strong Artin approximation theorem is bounded by a l…

math.AC2003

Theoreme d'approximation cylindrique dans le cas des anneaux analytiques

Guillaume Rond

This paper has been withdrawn by the authors because M. Aschenbrenner pointed out that the proof of theorem 3.1 was incorrect.