Yu-Cui Lin

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math.NT2026

Polarized superspecial abelian varieties over $F_{p}$ via hermitian lattices

Yucui Lin, Jiangwei Xue, Chia-Fu Yu

We study the set of isomorphism classes of polarized superspecial abelian varieties $(A, λ)$ of a fixed dimension over $F_{p}$ with Frobenius endomorphism $π_{A} = - p$ and…

math.NT2026

The spinor type number formula for totally definite quaternion orders

Yucui Lin, Jiangwei Xue

Let $D$ be a totally definite quaternion algebra over a totally real number field $F$ , and $O$ be an $O_{F}$ -order (of full rank) in $D$ . The type number $t (O)$ i…

math.NT2022

On the divisibility of the class numbers of quaternion orders

Lin Yucui, Xue Jiangwei

Let $F$ be a number field, and $D$ be a quaternion $F$ -algebra. We show that the class number of any residually unramified $O_{F}$ -order (e.g. an Eichler order) in $D$ is divisible b…

Polarized superspecial abelian varieties over Fp​ via hermitian lattices

The spinor type number formula for totally definite quaternion orders

On the divisibility of the class numbers of quaternion orders

Polarized superspecial abelian varieties over $F_{p}$ via hermitian lattices