Annie Carter

activity

20102023

most citedDrinfeld's lemma for perfectoid spaces and overconvergence of multivariate

(φ, Γ)

-modules

6 citations · 7 across the 5 of their papers we have counts for

collaborators

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5 papers · 1 filter

math.NT2023

A note on the cohomology of $p$ -adic analytic group actions

Annie Carter, Kiran S. Kedlaya

We prove that given an analytic action of a compact $p$ -adic Lie group on a Banach space over a field of positive characteristic, one can detect either the simultaneous vanishing o…

math.NT2022

Dynamical Mahler Measure: A survey and some recent results

Annie Carter, Matilde Lalín, Michelle Manes +1

We study the dynamical Mahler measure of multivariate polynomials and present dynamical analogues of various results from the classical Mahler measure as well as examples of formul…

math.NT2021

Two-variable polynomials with dynamical Mahler measure zero

Annie Carter, Matilde Lalín, Michelle Manes +2

We discuss several aspects of the dynamical Mahler measure for multivariate polynomials. We prove a weak dynamical version of Boyd--Lawton formula and we characterize the polynomia…

math.NT2018★ 6 cited

Drinfeld's lemma for perfectoid spaces and overconvergence of multivariate $(φ, Γ)$ -modules

Annie Carter, Kiran S. Kedlaya, Gergely Zábrádi

Let $p$ be a prime, let $K$ be a finite extension of $Q_{p}$ , and let $n$ be a positive integer. We construct equivalences of categories between continuous $p$ -adic represen…

math.NT2016

Lubin-Tate Deformation Spaces and Fields of Norms

Annie Carter, Matthias Strauch

We construct a tower of fields from the rings $R_{n}$ which parametrize pairs $(X, λ)$ , where $X$ is a deformation of a fixed one-dimensional formal group $X$ of finite heigh…