3 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.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.NT2022
Mass formulas and the basic locus of unitary Shimura varieties
Yasuhiro Terakado, Chia-Fu Yu
In this article we compute the mass associated to any unimodular lattice in a Hermitian space over an arbitrary CM field under a condition at 2. We study the geometry and arithmeti…