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math.AG2020
Smooth profinite groups, III: the Smoothness Theorem
Charles De Clercq, Mathieu Florence
Let be a prime. In this article, we prove the Smoothness Theorem, which asserts that a -cyclotomic pair is -cyclotomic, for all . In the particular case…
math.AG2020
Smooth profinite groups, I: geometrizing Kummer theory
Charles De Clercq, Mathieu Florence
In this series of three papers, we introduce and study cyclotomic pairs and smooth profinite groups. They are a geometric axiomatisation of Kummer theory for fields, with coefficie…