Abstract
We give a proof of the well-known fact that the 𝒪-module ℰ of smooth functions is flat by means of residue theory and integral formulas. A variant of the proof gives a similar result for classes of functions of lower regularity. We also prove a Briançon–Skoda type theorem for ideals of the form ℰa, where a is an ideal in 𝒪.
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More From: Annales de la Faculté des sciences de Toulouse : Mathématiques
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