The Beilinson-Bloch conjecture for some cubic threefolds over global function fields
Matt Broe
Published: 2025/9/3
Abstract
We prove conjectures on algebraic cycles, due to Beilinson, Bloch, and Jannsen, for a class of smooth cubic threefolds over global function fields, using tools introduced by Jannsen. We deduce the Birch and Swinnerton-Dyer conjecture for their intermediate Jacobians, and use it to construct new examples of varieties over finite fields satisfying the Tate conjecture.