Steven R. Groen

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20242026

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math.NT2025

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 $π : Y \to X$ in characteristic two. When the base curve $X$ is ordinary, we show that the E…

math.NT2025

The Ekedahl-Oort and Newton stratification of the $GU (3, 2)$ Shimura variety

Emerald Andrews, Deewang Bhamidipati, Maria Fox +3

This paper concerns the characteristic- $p$ fibers of $GU (3, 2)$ Shimura varieties. Such Shimura varieties parametrize abelian varieties in characteristic $p$ of dimension $…

math.AG2025

Intersections of the Ekedahl-Oort and Newton Strata of $A_{5}$

Steven R. Groen, Elvira Lupoian, Mychelle Parker

The moduli space $A_{g}$ of principally polarised abelian varieties of dimension $g$ , defined over an algebraically closed field of characteristic $p > 0$ , is studied throug…

math.NT2025

Analogues of Traverso's Isogeny Conjecture for Some Unitary p-Divisible Groups

Emerald Andrews, Deewang Bhamidipati, Maria Fox +3

Let $p$ be a prime and $k$ an algebraically closed field of characteristic $p$ . Two invariants worthy of study for a $p$ -divisible group $X$ over $k$ are its isogeny cutoff…

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

The Ekedahl-Oort and Newton stratification of the GU(3,2) Shimura variety

Intersections of the Ekedahl-Oort and Newton Strata of A5​

Analogues of Traverso's Isogeny Conjecture for Some Unitary p-Divisible Groups

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

The Ekedahl-Oort and Newton stratification of the $GU (3, 2)$ Shimura variety

Intersections of the Ekedahl-Oort and Newton Strata of $A_{5}$