Jiangwei Xue

activity

20112022

most citedEndomorphism algebras of factors of certain hypergeometric Jacobians

1 citations · 2 across the 5 of their papers we have counts for

collaborators

8 papers

math.NT2022

On $F_{p}$ -roots of the Hilbert class polynomial modulo $p$

Mingjie Chen, Jiangwei Xue

The Hilbert class polynomial $H_{O} (x) \in Z [x]$ attached to an order $O$ in an imaginary quadratic field $K$ is the monic polynomial whose roots are pr…

math.NT2021★ 1 cited

On superspecial abelian surfaces over finite fields III

Jiangwei Xue, Chia-Fu Yu, Yuqiang Zheng

In the paper [On superspecial abelian surfaces over finite fields II. J. Math. Soc. Japan, 72(1):303--331, 2020], Tse-Chung Yang and the first two current authors computed explicit…

math.NT2020

Optimal spinor selectivity for quaternion Bass orders

Deke Peng, Jiangwei Xue

Let $A$ be a quaternion algebra over a number field $F$ , and $O$ be an $O_{F}$ -order of full rank in $A$ . Let $K$ be a quadratic field extension of $F$ that embeds into $A$ …

math.NT2018

On superspecial abelian surfaces and type numbers of totally definite quaternion algebras

Jiangwei Xue, Chia-Fu Yu

In this paper we determine the number of endomorphism rings of superspecial abelian surfaces over a field $F_{q}$ of odd degree over $F_{p}$ in the isogeny class corr…

math.NT2018

Unit groups of maximal orders in totally definite quaternion algebras over real quadratic fields

Qun Li, Jiangwei Xue, Chia-Fu Yu

We study a form of refined class number formula (resp. type number formula) for maximal orders in totally definite quaternion algebras over real quadratic fields, by taking into co…

math.NT2016

Numerical Invariants of Totally Imaginary Quadratic $Z [p]$ -orders

Jiangwei Xue, Tse-Chung Yang, Chia-Fu Yu

Let $A$ be a real quadratic order of discriminant $p$ or $4 p$ with a prime $p$ . In this paper we classify all proper totally imaginary quadratic $A$ -orders $B$ with index $w(B)=[B^…

On Fp​-roots of the Hilbert class polynomial modulo p