4 citations · 19 across the 24 of their papers we have counts for
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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 of odd degree over in the isogeny class corr…
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…
On superspecial abelian surfaces over finite fields II
Jiangwei Xue, Tse-Chung Yang, Chia-Fu Yu
Extending the results of [Asian J. Math. 2019], in [Doc. Math. \textbf{21}, 2016] we calculated explicitly the number of isomorphism classes of superspecial abelian surfaces over a…
On counting certain abelian varieties over finite fields
Jiangwei Xue, Chia-Fu Yu
This paper contains two parts toward studying abelian varieties from the classification point of view. In a series of papers, the current authors and T.-C. Yang obtain explicit for…