Matt Broe

collaborators

3 papers

math.AG2026

The Tate conjecture for abelian fourfolds over finite fields

Matt Broe

We prove the Tate conjecture for abelian fourfolds over finite fields. This is the first resolution of the conjecture for all abelian varieties of a fixed dimension over finite fie…

math.NT2025

The Beilinson-Bloch conjecture for some non-isotrivial varieties over global function fields

Matt Broe

The Beilinson--Bloch conjecture is a generalization of the Birch and Swinnerton-Dyer conjecture, which relates the ranks of Chow groups of smooth projective varieties over global f…

math.NT2025

On the Beilinson-Bloch conjecture over function fields

Matt Broe

Let $k$ be a field and $X$ a smooth projective variety over $k$ . When $k$ is a number field, the Beilinson-Bloch conjecture relates the ranks of the Chow groups of $X$ to the order…