5 citations · 11 across the 6 of their papers we have counts for
6 papers
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…
Numerical Invariants of Totally Imaginary Quadratic -orders
Jiangwei Xue, Tse-Chung Yang, Chia-Fu Yu
Let be a real quadratic order of discriminant or with a prime . In this paper we classify all proper totally imaginary quadratic -orders with index $w(B)=[B^…
On superspecial abelian varieties over finite fields
Jiangwei Xue, Tse-Chung Yang, Chia-Fu Yu
In this paper we establish a new lattice description for superspecial abelian varieties over a finite field of elements. Our description depends on the pari…
Supersingular abelian surfaces and Eichler class number formula
Jiangwei Xue, Tse-Chung Yang, Chia-Fu Yu
Let be a totally real field with ring of integers , and be a totally definite quaternion algebra over . A well-known formula established by Eichler and then extende…
Monomial, Gorenstein and Bass Orders
Tse-Chung Yang, Chia-Fu Yu
In this article we study a class of orders called {\it monomial orders} in a central simple algebra over a non-Archimedean local field. Monomial orders are easily represented and t…
Embeddings of fields in simple algebras over global fields
Sheng-Chi Shih, Tse-Chung Yang, Chia-Fu Yu
Let be a global field, a central simple algebra over and a finite (separable or not) field extension of with degree dividing the degree of over .…