Heidi Goodson

activity

20242026

collaborators

Showing 2025Show all

4 papers · 1 filter

math.NT2025

Degeneracy and Sato-Tate groups of $y^{2} = x^{p^{2}} - 1$

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,…

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.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…

math.NT2025

Monodromy groups and exceptional Hodge classes, II: Sato-Tate groups

Andrea Gallese, Heidi Goodson, Davide Lombardo

Denote by $J_{m}$ the Jacobian variety of the hyperelliptic curve defined by the affine equation $y^{2} = x^{m} + 1$ over $Q$ , where $m \geq 3$ is a fixed positive integer. In this…

Degeneracy and Sato-Tate groups of y2=xp2−1

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

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

Monodromy groups and exceptional Hodge classes, II: Sato-Tate groups

Degeneracy and Sato-Tate groups of $y^{2} = x^{p^{2}} - 1$

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