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 2017 · math.AGShow all

4 papers · 2 filters

math.AG2017

Splitting families in Galois cohomology

Cyril Demarche, Mathieu Florence

Let $k$ be a field, with absolute Galois group $Γ$ . Let $A / k$ be a finite étale group scheme of multiplicative type, i.e. a discrete $Γ$ -module. Let $n \geq 2$ be an integer, and l…

math.AG2017★ 8 cited

Lifting Theorems and Smooth Profinite Groups

C. De Clercq, M. Florence

This work is motivated by the search for an "explicit" proof of the Bloch-Kato conjecture in Galois cohomology, proved by Voevodsky. Our concern here is to lay the foundation for a…

math.AG2017★ 7 cited

The rationality problem for forms of $M_{0, n}$

Mathieu Florence, Zinovy Reichstein

Let $X$ be a del Pezzo surface of degree $5$ defined over a field $F$ . A theorem of Yu. I. Manin and P. Swinnerton-Dyer asserts that every Del Pezzo surface of degree $5$ is ration…

math.AG2017

On the rationality problem for forms of moduli spaces of stable marked curves of positive genus

Mathieu Florence, Norbert Hoffmann, Zinovy Reichstein

Let $M_{g, n}$ (respectively, $M_{g, n}$ ) be the moduli space of smooth (respectively stable) curves of genus $g$ with $n$ marked points. Over the field of complex numbe…

Splitting families in Galois cohomology

Lifting Theorems and Smooth Profinite Groups

The rationality problem for forms of M0,n​​

On the rationality problem for forms of moduli spaces of stable marked curves of positive genus

The rationality problem for forms of $M_{0, n}$