Emiliano Ambrosi

activity

20172025

most citedMaximal tori of monodromy groups of

F

-isocrystals and an application to abelian varieties

7 citations · 15 across the 13 of their papers we have counts for

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5 papers · 1 filter

math.NT2025

Geometrically simple counterexamples to a local-global principle for quadratic twists

Emiliano Ambrosi, Nirvana Coppola, Francesc Fité

Two abelian varieties $A$ and $B$ over a number field $K$ are said to be strongly locally quadratic twists if they are quadratic twists at every completion of $K$ . While it was kno…

math.NT2021★ 2 cited

Perfect points of abelian varieties

Emiliano Ambrosi

Let $k$ be an algebraic extension of $F_{p}$ and $K / k$ a regular extension of fields (e.g. $F_{p} (T) / F_{p}$ ). Let $A$ be a $K$ -abelian variety such that all the i…

math.NT2019

Uniform boundedness for Brauer groups of forms in positive characteristic

Emiliano Ambrosi

Let $k$ be a finitely generated field of characteristic $p > 0$ and $X$ a smooth and proper scheme over $k$ . Recent works of Cadoret, Hui and Tamagawa show that, if $X$ satisfies the…

math.NT2018★ 7 cited

Maximal tori of monodromy groups of $F$ -isocrystals and an application to abelian varieties

Emiliano Ambrosi, Marco D'Addezio

Let $X_{0}$ be a smooth geometrically connected variety defined over a finite field $F_{q}$ and let $E_{0}^{†}$ be an irreducible overconvergent $F$ -isocrystal on…

math.NT2017

A uniform open image theorem for l-adic representations in positive characteristic

Emiliano Ambrosi

Let $k$ be a finitely generated field of characteristic $p > 0$ and $ℓ$ a prime. Let $X$ be a smooth, separated, geometrically connected curve of finite type over $k$ and $ρ: π_…

Geometrically simple counterexamples to a local-global principle for quadratic twists

Perfect points of abelian varieties

Uniform boundedness for Brauer groups of forms in positive characteristic

Maximal tori of monodromy groups of F-isocrystals and an application to abelian varieties

A uniform open image theorem for l-adic representations in positive characteristic

Maximal tori of monodromy groups of $F$ -isocrystals and an application to abelian varieties