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math.AG2019★ 3 cited
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…
math.AG2019
An application of cohomological invariants
Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki
Let be a finite group, be a field and be the regular representation of over . Then acts naturally on the rational function field $k(V_{\rm…