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Nous montrons que le polygone de Newton d’une équation aux -différences linéaire ne
dépend que du module aux -différences correspondant. Nous interprétons les résultats
classiques de factorisation convergente de Adams-Birkhoff-Guenther en termes d’existence
d’une filtration canonique par les pentes. De plus, le gradué associé possède
d’excellentes propriétés fonctorielles et tensorielles.
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