Yucui Lin

collaborators

2 papers

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 $(A, I^»)$ of a fixed dimension over $F_{p}$ with Frobenius endomorphism $I ¨ _{A} = - p$ a…

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…

Polarized superspecial abelian varieties over Fp​ via hermitian lattices

The spinor type number formula for totally definite quaternion orders

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