Sean Howe

collaborators

2 papers

math.NT2025

$p$ -adic Fourier theory in families

Andrew Graham, Pol van Hoften, Sean Howe

We construct Fourier transforms relating functions and distributions on finite height $p$ -divisible rigid analytic groups and objects in a dual category of $Z_{p}$ -local sys…

math.NT2025

Characterizing perfectoid covers of abelian varieties

Rebecca Bellovin, Hanlin Cai, Sean Howe +1

We give a simple characterization of all perfectoid profinite étale covers of abelian varieties in terms of the Hodge-Tate filtration on the $p$ -adic Tate module. We also compute t…

p-adic Fourier theory in families

Characterizing perfectoid covers of abelian varieties

$p$ -adic Fourier theory in families