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math.NT2026
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…
math.NT2026
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 …
math.NT2026
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…