1 citations · 2 across the 8 of their papers we have counts for
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Ribet bimodules and principally polarized superspecial abelian varieties with quaternion action
Jiangwei Xue, Xiangning Yang
In an influential paper [K. Ribet, Bimodules and abelian surfaces, in Algebraic number theory, 359-407, Adv. Stud. Pure Math., Vol. 17, 1989] on the bad reduction of Shimura curves…
Superspecial Points on Shimura Curves
Yasuhiro Terakado, Jiangwei Xue, Chia-Fu Yu
Let be the Shimura curve attached to an indefinite quaternion -algebra with a maximal order . This paper investigates the reduction …
Polarized superspecial abelian varieties over via hermitian lattices
Yucui Lin, Jiangwei Xue, Chia-Fu Yu
We study the set of isomorphism classes of polarized superspecial abelian varieties of a fixed dimension over with Frobenius endomorphism and…
On the supersingular locus of Shimura varieties for quaternionic unitary groups
Yasuhiro Terakado, Jiangwei Xue, Chia-Fu Yu
We study a Shimura variety attached to a unitary similitude group of a skew-Hermitian form over a totally indefinite quaternion algebra over a totally real number field. We give a…
On -roots of the Hilbert class polynomial modulo
Mingjie Chen, Jiangwei Xue
The Hilbert class polynomial attached to an order in an imaginary quadratic field is the monic polynomial whose roots are pr…
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…