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20212026
most citedOn superspecial abelian surfaces over finite fields III

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

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.RT2026

Twisted Gelfand-Ponomarev modules

Joseph Muller, Chia-Fu Yu

In this expository paper, given a field and two automorphisms , we give a self-contained proof of the classification of finite dimensional -vector s…

math.NT2026

Introduction to Dieudonné modules and supersingular abelian varieties revisited

Chia-Fu Yu

In this Note we present an expository account for \dieu modules and revisit supersingular abelian varieties. We give a simple proof of the uniqueness of products of two or more sup…

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…

math.NT2023

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…

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…