3 citations · 4 across the 9 of their papers we have counts for
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The rationality problem for multinorm one tori, II
Sumito Hasegawa, Kazuki Kanai, Yasuhiro Oki
We investigate the stable and retract rationality of multinorm one tori associated to finite {é}tale algebras. Our results are organized according to the greatest common divisor $d…
The rationality problem for multinorm one tori
Sumito Hasegawa, Kazuki Kanai, Yasuhiro Oki
In this paper, we study the rationality problem for multinorm one tori, a natural generalization of norm one tori. For multinorm one tori that split over finite Galois extensions w…
Norm one tori and Hasse norm principle, II: Degree case
Akinari Hoshi, Kazuki Kanai, Aiichi Yamasaki
Let be a field, be an algebraic -torus, be a smooth -compactification of and be the Picard group of $\overline{X}=X\times_k\overline…
Norm one tori and Hasse norm principle
Akinari Hoshi, Kazuki Kanai, Aiichi Yamasaki
Let be a field and be an algebraic -torus. In 1969, over a global field , Voskresenskii proved that there exists an exact sequence $0\to A(T)\to H^1(k,{\rm Pic}\,\ove…