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We give a simplification, in the case of Q-algebras, of the proof of Artin's Conjecture, which says that a regular morphism between Noetherian rings is the inductive limit of smooth morphisms of finite type.
Nous définissons l’espace des germes d’arcs réels tracés sur un ensemble semi-algébrique
de , analogue réel de la théorie développée par Denef et Loeser concernant
l’espace des germes d’arcs tracés sur une variété algébrique complexe. Puis, reprenant
leur méthodes, nous prouvons la rationalité de la série de Poincaré associée à un
ensemble semi-algébrique.
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