A. Cadoret

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math.AG2018

A note on images of Galois representations (with an application to a result of Litt)

Anna Cadoret, Ben Moonen

Let $X$ be a variety (possibly non-complete or singular) over a finitely generated field $k$ of characteristic $0$ . For a prime number $ℓ$ , let $ρ_{ℓ}$ be the Galois representa…

math.AG2018

Reconstructing function fields from Milnor K-theory

Anna Cadoret, Alena Pirutka

Let $F$ be a finitely generated regular field extension of transcendence degree $\geq 2$ over a perfect field $k$ . We show that the multiplicative group $F^{\times} / k^{\times}$ endowed…

math.AG2018

A remark on uniform boundedness for Brauer groups

Anna Cadoret, François Charles

The Tate conjecture for divisors on varieties over number fields is equivalent to finiteness of $ℓ$ -primary torsion in the Brauer group. We show that this finiteness is actually…