Mathieu Florence

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20232026

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3 papers · 1 filter

math.AG2026

Rationality problem for norm one tori of tensor products of étale algebras and Hasse norm principle

Mathieu Florence, Akinari Hoshi, Aiichi Yamasaki

Let $k$ be a field. Let $A = \prod_{i = 1}^{r} K_{i}$ and $B = \prod_{j = 1}^{s} E_{j}$ be étale $k$ -algebras where $K_{i}$ and $E_{j}$ are finite separable field extensions of $k$ with $[K_{i} : k] = m_{i}$ …

math.AG2025

Lifting Galois representations via Galois cohomology

Mathieu Florence

This is a survey paper, on recent progress around lifting Galois representations. I focused on approaches that solely rely on Galois cohomology. Emphasis is laid on material I talk…

math.AG2023

Realisation of linear algebraic groups as automorphism groups

Mathieu Florence

Let $G$ be a linear algebraic group, over a field $F$ . We show that $G$ is isomorphic to the automorphism group scheme of a smooth projective $F$ -variety, defined as the blow-up of…