Hoshi, Akinari; Yamasaki, Aiichi Rationality problem for norm one tori for dihedral extensions. (English) Zbl 07783379 J. Algebra 640, 368-384 (2024). MSC: 11E72 12F20 13A50 14E08 20C10 20G15 PDFBibTeX XMLCite \textit{A. Hoshi} and \textit{A. Yamasaki}, J. Algebra 640, 368--384 (2024; Zbl 07783379) Full Text: DOI arXiv
Hoshi, Akinari; Kanai, Kazuki; Yamasaki, Aiichi Norm one tori and Hasse norm principle. II: Degree 12 case. (English) Zbl 1515.11029 J. Number Theory 244, 84-110 (2023). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 11E72 12F20 13A50 14E08 20C10 20G15 PDFBibTeX XMLCite \textit{A. Hoshi} et al., J. Number Theory 244, 84--110 (2023; Zbl 1515.11029) Full Text: DOI arXiv
Hoshi, Akinari; Yamasaki, Aiichi Rationality problem for norm one tori for \(A_5\) and \({\rm PSL}_2(\mathbb{F}_8)\) extensions. arXiv:2309.16187 Preprint, arXiv:2309.16187 [math.AG] (2023). MSC: 11E72 12F20 13A50 14E08 20C10 20G15 BibTeX Cite \textit{A. Hoshi} and \textit{A. Yamasaki}, ``Rationality problem for norm one tori for $A_5$ and ${\rm PSL}_2(\mathbb{F}_8)$ extensions'', Preprint, arXiv:2309.16187 [math.AG] (2023) Full Text: arXiv OA License
Hoshi, Akinari; Kanai, Kazuki; Yamasaki, Aiichi Norm one tori and Hasse norm principle. (English) Zbl 1515.11028 Math. Comput. 91, No. 337, 2431-2458 (2022). MSC: 11E72 12F20 13A50 14E08 20C10 20G15 PDFBibTeX XMLCite \textit{A. Hoshi} et al., Math. Comput. 91, No. 337, 2431--2458 (2022; Zbl 1515.11028) Full Text: DOI arXiv
Hoshi, Akinari; Kanai, Kazuki; Yamasaki, Aiichi Hasse norm principle for \(M_{11}\) and \(J_1\) extensions. arXiv:2210.09119 Preprint, arXiv:2210.09119 [math.NT] (2022). MSC: 11E72 12F20 13A50 14E08 20C10 20G15 BibTeX Cite \textit{A. Hoshi} et al., ``Hasse norm principle for $M_{11}$ and $J_1$ extensions'', Preprint, arXiv:2210.09119 [math.NT] (2022) Full Text: arXiv OA License
Hoshi, Akinari; Koshiba, Masakazu On Lecacheux’s family of quintic polynomials. (English) Zbl 1479.11093 Proc. Japan Acad., Ser. A 97, No. 1, 1-6 (2021). Reviewer: Noriko Yui (Kingston) MSC: 11G05 11R20 12F20 12G05 PDFBibTeX XMLCite \textit{A. Hoshi} and \textit{M. Koshiba}, Proc. Japan Acad., Ser. A 97, No. 1, 1--6 (2021; Zbl 1479.11093) Full Text: DOI arXiv
Hoshi, Akinari; Yamasaki, Aiichi Rationality problem for norm one tori. (English) Zbl 1475.14025 Isr. J. Math. 241, No. 2, 849-867 (2021). MSC: 14E08 11E72 12F20 13A50 20G15 PDFBibTeX XMLCite \textit{A. Hoshi} and \textit{A. Yamasaki}, Isr. J. Math. 241, No. 2, 849--867 (2021; Zbl 1475.14025) Full Text: DOI arXiv
Hoshi, Akinari; Yamasaki, Aiichi Birational classification for algebraic tori. arXiv:2112.02280 Preprint, arXiv:2112.02280 [math.AG] (2021). MSC: 11E72 12F20 13A50 14E08 20C10 20G15 BibTeX Cite \textit{A. Hoshi} and \textit{A. Yamasaki}, ``Birational classification for algebraic tori'', Preprint, arXiv:2112.02280 [math.AG] (2021) Full Text: arXiv OA License
Hoshi, Akinari Noether’s problem and rationality problem for multiplicative invariant fields: a survey. (English) Zbl 1455.12004 RIMS Kôkyûroku Bessatsu B77, 29-53 (2020). MSC: 12F12 13A50 14E08 14F22 11E72 14M20 20J06 12-02 PDFBibTeX XMLCite \textit{A. Hoshi}, RIMS Kôkyûroku Bessatsu B77, 29--53 (2020; Zbl 1455.12004) Full Text: arXiv Link
Hasegawa, Sumito; Hoshi, Akinari; Yamasaki, Aiichi Rationality problem for norm one tori in small dimensions. (English) Zbl 1456.11043 Math. Comput. 89, No. 322, 923-940 (2020). MSC: 11E72 20C10 20G15 13A50 14E08 PDFBibTeX XMLCite \textit{S. Hasegawa} et al., Math. Comput. 89, No. 322, 923--940 (2020; Zbl 1456.11043) Full Text: DOI arXiv
Hoshi, Akinari; Kang, Ming-chang; Yamasaki, Aiichi An application of cohomological invariants. arXiv:1903.03750 Preprint, arXiv:1903.03750 [math.AG] (2019). MSC: 12G05 14E08 BibTeX Cite \textit{A. Hoshi} et al., ``An application of cohomological invariants'', Preprint, arXiv:1903.03750 [math.AG] (2019) Full Text: arXiv OA License
Hoshi, Akinari; Yamasaki, Aiichi Rationality problem for algebraic tori. (English) Zbl 1411.11037 Memoirs of the American Mathematical Society 1176. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2409-1/print; 978-1-4704-4054-1/ebook). vi, 215 p. (2017). Reviewer: Yong Hu (Guangdong) MSC: 11E72 12F20 13A50 14E08 20C10 20G15 PDFBibTeX XMLCite \textit{A. Hoshi} and \textit{A. Yamasaki}, Rationality problem for algebraic tori. Providence, RI: American Mathematical Society (AMS) (2017; Zbl 1411.11037) Full Text: DOI arXiv
Hoshi, Akinari; Kang, Ming-chang; Yamasaki, Aiichi Degree three unramified cohomology groups. (English) Zbl 1348.14032 J. Algebra 458, 120-133 (2016). Reviewer: Ivo M. Michailov (Shumen) MSC: 14E08 12G05 PDFBibTeX XMLCite \textit{A. Hoshi} et al., J. Algebra 458, 120--133 (2016; Zbl 1348.14032) Full Text: DOI arXiv
Hoshi, Akinari Rationality problem for quasi-monomial actions. (English) Zbl 1357.14020 RIMS Kôkyûroku Bessatsu B51, 203-227 (2014). MSC: 14E08 11E72 12F20 13A50 14M20 20G15 PDFBibTeX XMLCite \textit{A. Hoshi}, RIMS Kôkyûroku Bessatsu B51, 203--227 (2014; Zbl 1357.14020) Full Text: arXiv
Hoshi, Akinari; Kang, Ming-Chang; Kunyavskii, Boris E. Noether’s problem and unramified Brauer groups. (English) Zbl 1291.13012 Asian J. Math. 17, No. 4, 689-714 (2013). Reviewer: Ivo M. Michailov (Shumen) MSC: 13A50 14E08 14M20 20J06 12F12 PDFBibTeX XMLCite \textit{A. Hoshi} et al., Asian J. Math. 17, No. 4, 689--714 (2013; Zbl 1291.13012) Full Text: DOI arXiv