9 papers
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…
Monodromy groups and exceptional Hodge classes, I: Fermat Jacobians
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. We compu…
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,…
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…
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 $…
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 …