PaperList
プレプリント arXiv
- (星明考と共著) Norm one tori and Hasse norm principle, III: Degree 16 case. (arXiv:2404.01362, GAPコード)
- (星明考と共著) Rationality problem for norm one tori for $A_5$ and ${\rm PSL}_2(\mathbb{F}_8)$. (arXiv:2309.16187, GAPコード)
- (星明考, 金井和貴と共著) Hasse norm principle for M11 and J1 extensions. (arXiv:2210.09119, GAPコード)
- (星明考と共著) Birational classification for algebraic tori. (arXiv:2112.02280, GAPコード)
- (星明考, M. Kangと共著) An application of cohomological invariants (arXiv:1903.03750)
- Rationality problem of conic bundles. (arXiv:1408.2233)
論文 MathSciNet
- (星明考と共著) Rationality problem for norm one tori for dihedral extensions. Journal of Algebra 640 (2024) 368-384. (arXiv:2302.06231)
- (星明考, 金井和貴と共著)
Norm one tori and Hasse norm principle, II: Degree 12 case.
Journal of Number Theory 244 (2023) 84-110. (arXiv:2003.08253, GAPコード) - (星明考, 金井和貴と共著)
Norm one tori and Hasse norm principle.
Mathematics of Computation 91 (2022) 2431-2458. (arXiv:1910.01469, GAPコード) - (星明考, M. Kang, 北山秀隆と共著)
A two-dimensional rationality problem.
Manuscripta Mathematica 168 (2022) 423-437. (arXiv:1801.06616) - (星明考, M. Kangと共著)
Multiplicative Invariant Fields of Dimension ≤ 6.
Memoirs of the American Mathematical Societyから出版予定 (arXiv:1609.04142, GAPコード) - (星明考と共著)
Rationality problem for norm one tori.
Israel Journal of Mathematics 241 (2021) 849-867. (arXiv:1811.01676, GAPコード) - (長谷川寿人, 星明考と共著)
Rationality problems for norm one tori in small dimensions.
Mathematics of Computation 89 (2020) 923-940. (arXiv:1811.02145, GAPコード) - (星明考, M. Kangと共著)
Degree three unramified cohomology groups and Noether's problem for groups of order 243.
Journal of Algebra 544 (2020) 262-301. (arXiv:1710.01958, GAPコード) - (星明考, M. Kangと共著)
Relation modules of dihedral groups.
Journal of Algebra 530 (2019) 368-401. (arXiv:1503.04543) (旧バージョン:arXiv:1312.6738) - (星明考と共著)
Rationality problem for algebraic tori.
Memoirs of the American Mathematical Society 248 (2017), no.1176, v+215 pp. (arXiv:1210.4525, GAPコード) - (星明考, M. Kangと共著)
Degree three unramified cohomology groups.
Journal of Algebra 458 (2016), 120-133. (arXiv:1503.08375) - Negative solutions to three-dimensional monomial Noether problem.
Journal of Algebra 370 (2012), 46-78. (GAPコード) (旧バージョン:arXiv:0909.0586v2) - (星明考と共著)
Rationality problem of three-dimensional monomial group asctios.
Journal of Algebra 341 (2011), 45-108. (arXiv:0912.5259) - Some Cases of Four Dimensional Linear Noether's Problem.
Journal of Mathematical Society of Japan 62 (2010), no.4, 1273-1288. - (北山秀隆と共著)
The rationality problem for four-dimensional linear actions.
Journal of Mathematics, Kyoto University 49 (2009), no.2, 359-380. - The structure of a complete valuation ring with an infinite residue field.
Journal of Mathematics, Kyoto University 45 (2005), no.3, 633-644. - Toward a generalization of strong approximation theorem to a general PF field.
Journal of Mathematics, Kyoto University 42 (2002), no.3, 477-484. - Inductive limit of general linear groups.
Journal of Mathematics, Kyoto University 38 (1998), no.4, 769-779. - Brauer Group of a Rational Function Field over a Perfect Field.
Journal of Number Theory 65 (1997), no.2, 295-304. - Cancellation of Lattices and Approximation Properties of Division Algebras.
Journal of Mathematics, Kyoto University 36 (1996), no.4, 857-867. - Strong Approximation Theorem for Division Algebras over R(X).
Journal of Mathematical Society of Japan. 49 (1997), no.3, 455-467.