19 citations · 81 across the 44 of their papers we have counts for
4 papers · 1 filter
Rationality problem of two-dimensional quasi-monomial group actions
Akinari Hoshi, Hidetaka Kitayama
The rationality problem of two-dimensional purely quasi-monomial actions was solved completely by Hoshi, Kang and Kitayama [HKK]. As a generalization, we solve the rationality prob…
Noether's problem and rationality problem for multiplicative invariant fields: a survey
Akinari Hoshi
In this paper, we give a brief survey of recent developments on Noether's problem and rationality problem for multiplicative invariant fields including author's recent papers Hoshi…
On Lecacheux's family of quintic polynomials
Akinari Hoshi, Masakazu Koshiba
Kida, Rikuna and Sato [KRS10] developed a classification theory for Brumer's quintic polynomials via Kummer theory arising from associated elliptic curves. We generalize their resu…
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…