M. Florence

activity

20092022

most citedLifting Theorems and Smooth Profinite Groups

8 citations · 16 across the 11 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.AG2020

Smooth profinite groups, III: the Smoothness Theorem

Charles De Clercq, Mathieu Florence

Let $p$ be a prime. In this article, we prove the Smoothness Theorem, which asserts that a $(1, 1)$ -cyclotomic pair is $(n, 1)$ -cyclotomic, for all $n \geq 1$ . In the particular case…

math.RA2020

Common Splitting Fields of Symbol Algebras

Adam Chapman, Mathieu Florence, Kelly McKinnie

We study the common splitting fields of symbol algebras of degree $p^{m}$ over fields $F$ of $char (F) = p$ . We first show that if any finite number of such algebras shar…

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…