6 citations · 7 across the 5 of their papers we have counts for
7 papers
A note on the cohomology of -adic analytic group actions
Annie Carter, Kiran S. Kedlaya
We prove that given an analytic action of a compact -adic Lie group on a Banach space over a field of positive characteristic, one can detect either the simultaneous vanishing o…
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…
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…
Drinfeld's lemma for perfectoid spaces and overconvergence of multivariate -modules
Annie Carter, Kiran S. Kedlaya, Gergely Zábrádi
Let be a prime, let be a finite extension of , and let be a positive integer. We construct equivalences of categories between continuous -adic represen…
Lubin-Tate Deformation Spaces and Fields of Norms
Annie Carter, Matthias Strauch
We construct a tower of fields from the rings which parametrize pairs , where is a deformation of a fixed one-dimensional formal group of finite heigh…
Beta Spaces: New Generalizations of Typically-Metric Properties
Annie Carter, Daniel Lithio, Robert Niichel +1
It is well-known that point-set topology (without additional structure) lacks the capacity to generalize the analytic concepts of completeness, boundedness, and other typically-met…
Generalized Hyperspaces and Non-Metrizable Fractals
Annie Carter, Daniel Lithio, Tristan Tager
Much of the structure in metric spaces that allows for the creation of fractals exists in more generalized non-metrizable spaces. In particular the same theorems regarding the beha…