11 citations · 72 across the 58 of their papers we have counts for
58 papers
Class numbers of multinorm-one tori
Fan-Yun Hung, Chia-Fu Yu
We present a formula for the class number of a multinorm one torus associated to any étale algebra over a global field . This is deduced from a formula for analogu…
Computing Tate-Shafarevich groups of multinorm one tori of Kummer type
Jun-Hao Huang, Fan-Yun Hung, Pei-Xin Liang +1
A multinorm one torus associated to a commutative étale algebra over a global field is of Kummer type if each factor of is a cyclic Kummer extension. In this paper we c…
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…
Optimal spinor selectivity for quaternion orders
Jiangwei Xue, Chia-Fu Yu
Let be a quaternion algebra over a number field , and be an arbitrary genus of -orders of full rank in . Let be a quadratic field extension of …
When is a polarised abelian variety determined by its -divisible group?
Tomoyoshi Ibukiyama, Valentijn Karemaker, Chia-Fu Yu
We study the Siegel modular variety of genus and its supersingular locus . As our main result we determine precis…
On Tamagawa numbers of CM tori
Pei-Xin Liang, Yasuhiro Oki, Hsin-Yi Yang +1
In this article we investigate the problem of computing Tamagawa numbers of CM tori. This problem arises naturally from the problem of counting polarized abelian varieties with com…