Joe Kramer-Miller

activity

20242026

collaborators

Showing math.NTShow all

3 papers · 1 filter

math.NT2026

Ekedahl-Oort types of $Z /2 Z$ -covers in characteristic $2$

Jeremy Booher, Steven R. Groen, Joe Kramer-Miller

In this article we study the Ekedahl-Oort types of $Z /2 Z$ -Galois covers $I ¨ : Y \to X$ in characteristic two. When the base curve $X$ is ordinary, we show that the…

math.NT2024

Iwasawa theory of Frobenius-torsion class group schemes

Jeremy Booher, Bryden Cais, Joe Kramer-Miller +1

We establish a new Iwasawa theory for the kernel of Frobenius on Jacobians of curves in geometric $Z_{p}$ -towers over the projective line in characteristic $p$ , thereby prov…

math.NT2024

Transcendence properties of the Artin-Hasse exponential modulo $p$

Joe Kramer-Miller

Let $E_{p} (x)$ denote the Artin-Hasse exponential and let $E_{p} (x)$ denote its reduction modulo $p$ in $F_{p} [[x]]$ . In this article we study transcendence propertie…

Ekedahl-Oort types of Z/2Z-covers in characteristic 2

Iwasawa theory of Frobenius-torsion class group schemes

Transcendence properties of the Artin-Hasse exponential modulo p

Ekedahl-Oort types of $Z /2 Z$ -covers in characteristic $2$

Transcendence properties of the Artin-Hasse exponential modulo $p$