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math.NT2025
Hasse norm principle for extensions of prime squared degree
Yasuhiro Oki
We give an equivalent condition for the validity of the Hasse norm principle for finite separable extensions of prime squared degree of global fields. Our theorem recovers the resu…
math.NT2025
The Hasse norm principle for some extensions of degree having square-free prime factors
Yasuhiro Oki
We determine the structure of the obstruction group of the Hasse norm principle for a finite separable extension of a global field of degree , where has a square-free…
math.AG2025
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…