6 papers · 1 filter
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…
Degeneracy and Sato-Tate groups of
Justin Chen, Heidi Goodson, Rezwan Hoque +1
We say that an abelian variety is degenerate if its Hodge ring is not generated by divisor classes. Degeneracy leads to some interesting challenges when computing Sato-Tate groups,…
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 $…
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…
Monodromy groups and exceptional Hodge classes, II: Sato-Tate groups
Andrea Gallese, Heidi Goodson, Davide Lombardo
Denote by the Jacobian variety of the hyperelliptic curve defined by the affine equation over , where is a fixed positive integer. In this…
Sato-Tate Groups and Distributions of
Heidi Goodson, Rezwan Hoque
Let denote the curve with affine model , where is prime. In this paper we study the limiting distributions of the normalized …