2 citations · 7 across the 8 of their papers we have counts for
8 papers
The Hasse norm principle for some non-Galois extensions of square-free degree
Yasuhiro Oki
In this paper, we study the Hasse norm principle for some non-Galois extensions of number fields. Our main theorem is that for any square-free composite number which is divisib…
Note on Tamagawa numbers of tori attached to CM algebras
Yasuhiro Oki
We prove that any integer power of can be realized as the Tamagawa number of a torus attached to a CM algebra considered by Guo Sheu Yu and Liang Yang Yu. Such a result is obta…
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…
On the connected components of Shimura varieties for CM unitary groups in odd variables
Yasuhiro Oki
We study the prime-to- Hecke action on the projective limit of the sets of connected components of Shimura varieties with fixed parahoric or Bruhat--Tits level at . In partic…
Rapoport--Zink spaces for spinor groups with special maximal parahoric level structure
Yasuhiro Oki
In this article, we give a concrete description of the underlying reduced subscheme of the Rapoport--Zink spaces for spinor similitude groups with special maximal parahoric (and no…
Notes on Rapoport--Zink spaces of Hodge type with parahoric level structure
Yasuhiro Oki
In this article, we treat two questions on Rapoport--Zink spaces of Hodge type constructed by Hamacher and Kim. One of which is their singularities, and the other is -adic unifo…