Jie Shu

collaborators

2 papers

math.NT2025

Selmer ranks in twists of CM abelian varieties

Jie Shu

We prove the Selmer ranks in certain families of $p$ -th twists of CM abelian varieties obey the symplectic or unitary distributions. As an application, for a prime $p \geq 3$ , we ob…

math.NT2025

Quadratic spaces and Selmer groups of abelian varieties with multiplication

Jie Shu

For certain symmetric isogeny $λ : A \to A^{\lor}$ of abelian varieties over a global field $F$ , B. Poonen and E. Rains put an orthogonal quadratic structure on $\mathrm{H}^1(\…