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The flatness of the $\Ok$-module of smooth functions and integral representation by Andersson, Mats is a scholarly article available to read on EtoBox.

What is The flatness of the $\Ok$-module of smooth functions and integral representation about?

We give a proof of the well-known fact that the $\Ok$-module $\E$ of smooth functions is flat by means of residue theory and integral formulas. A variant of the proof gives a related statement for classes of functions of lower regularity. We also prove a Brian\c{c}on-Skoda type theorem for ideals of the form $\E a$, where $a$ is an ideal in $\Ok$.

Author

Andersson, Mats

Published

2019

Language

EN