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20232026
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math.NT2026

On the classification of indecomposable Ekedahl-Oort strata in unitary Shimura varieties, and related Newton polygons

Emerald Andrews, Deewang Bhamidipati, Maria Fox +3

In this paper, we give a complete classification of indecomposable Ekedahl--Oort strata of Shimura varieties associated to the unitary group over an odd inert p…

math.NT2025

The Ekedahl-Oort and Newton stratification of the Shimura variety

Emerald Andrews, Deewang Bhamidipati, Maria Fox +3

This paper concerns the characteristic- fibers of Shimura varieties. Such Shimura varieties parametrize abelian varieties in characteristic of dimension $…

math.NT2025

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

Emerald Andrews, Deewang Bhamidipati, Maria Fox +3

The isogeny cutoff of a -divisible group (defined over an algebraically closed field of characteristic ) measures the amount of -torsion necessary to determine its iso…

math.NT2024

Ekedahl-Oort strata in the Shimura variety

Emerald Andrews, Deewang Bhamidipati, Maria Fox +3

This paper concerns the characteristic- fibers of Shimura varieties, which classify abelian varieties with additional structure. These Shimura varieties adm…

math.NT2023

Frobenius distributions of low dimensional abelian varieties over finite fields

Santiago Arango-Piñeros, Deewang Bhamidipati, Soumya Sankar

Given a -dimensional abelian variety over a finite field , the Weil conjectures imply that the normalized Frobenius eigenvalues generate a multiplicative group…