1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NT2023
Cohomological properties of multinorm-one tori
Pei-Xin Liang, Yasuhiro Oki, Chia-Fu Yu
In this paper we investigate the Tate--Shafarevich group Sha^1(k, T) of a multinorm-one torus over a global field . We establish a few functorial maps among cohomology group…
math.NT2022
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…
math.NT2021★ 1 cited
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…