Hoshi Akinari 星明考

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HOSHI Akinari 星明考

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Researcher Number	50434262
Other IDs	https://orcid.org/0000-0002-2207-8875
Affiliation (Current)	2024: 新潟大学, 自然科学系, 教授
Affiliation (based on the past Project Information) *help	2020 – 2024: 新潟大学, 自然科学系, 教授 2019 – 2020: 新潟大学, 自然科学系, 准教授 2013 – 2016: 新潟大学, 自然科学系, 准教授 2014: 立教大学, 理学部, 助教 2009 – 2012: 立教大学, 理学部, 助教 2007 – 2008: 早稲田大学, 教育・総合科学学術院, 助手 2006 – 2007: 早稲田大学, 教育・総合学術院, 助手
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra Except Principal Investigator Algebra / Basic Section 11010:Algebra-related / Medium-sized Section 11:Algebra, geometry, and related fields
Keywords	Principal Investigator 有理性問題 / 不分岐コホモロジー群 / レトラクト有理性 / 安定有理性 / 不分岐ブラウアー群 / 双有理分類 / ネーター問題 / 代数的トーラス / 半単項式作用 / 不分岐コホモロジー … More / ガロア逆問題 / 双有理不変量 / ハッセ・ノルム原理 / 整数ホッジ予想 / ダベンポート・ハッセの定理 / ハッセノルム原理 / ノルム１トーラス / ハッセ原理 / relation module / 振れ対称群作用 / 共通部分体問題 / 生成的多項式 / 単純巡回多項式 / 同型問題 / Bogomolov multiplier / Thue方程式 … More Except Principal Investigator アルゴリズム / ガロア理論 / 代数学 / 整数論 / ハッセノルム原理 / 有理性問題 / 計算数学 / 代数幾何 / 数論 / ジョンソン準同形 / 数論的基本群 / 数論トポロジー / 3次の数論 / 5次可解生成多項式 / 4次生成多項式 / Hessian曲線の捻り / 5次可解生成的多項式 / 4次生成的多項式 / 一般チルンハウス変換 / Hessian 曲線の捻り / Cubic Thue equations / 2次体の類数問題 / 部分体問題 / 生成的多項式 / 幾何学 Less

Number theory and algebraic geometry and computer mathematics - New developments on rationality problems for algebraic varieties -Principal Investigator
- Principal Investigator
  
  星明考
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Niigata University
Rationality problems and their applications to number theory
- Principal Investigator
  
  山崎愛一
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kyoto University
数論トポロジーと種々のモノドロミー不変量の新たな展開
- Principal Investigator
  
  中村博昭
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Osaka University
Unramified cohomology groups and rationality problem for fields of invariantsPrincipal Investigator
- Principal Investigator
  
  Hoshi Akinari
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Niigata University
Rationality problem for fields of invariantsPrincipal Investigator
- Principal Investigator
  
  Hoshi Akinari
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Niigata University
A computational research on number fields and coverings with non-commutative Galois groups
- Principal Investigator
  
  TSUNOGAI Hiroshi
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
A study on constructive inverse Galois problemPrincipal Investigator
- Principal Investigator
  
  HOSHI Akinari
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Rikkyo University
  Niigata University
Development of Number Theory based on Generic Polynomials
- Principal Investigator
  
  MIYAKE Katsuya
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Waseda University
A computational study on extensions of algebraic number fields with non-commutative Galois groups
- Principal Investigator
  
  TSUNOGAI Hiroshi
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University

[Book] 要点明解　線形数学　三訂版2022
- Author(s)
  田中環，小島秀雄，星明考，折田龍馬，印南信宏，吉原久夫
- Total Pages
  203
- Publisher
  培風館
- Data Source
  KAKENHI-PROJECT-19K03418
[Book] 構成的ガロア逆問題と不変体の有理性問題（第27回整数論サマースクール報告集）2020
- Author(s)
  小松亨、星明考、北山秀隆
- Total Pages
  368
- Publisher
  新潟大学学術リポジトリ
- Data Source
  KAKENHI-PROJECT-19K03418
[Book] 要点明解線形数学2016
- Author(s)
  印南信宏, 田中環, 小島秀雄, 星明考
- Total Pages
  178
- Publisher
  培風館
- Data Source
  KAKENHI-PROJECT-25400027
[Book] 群論序説2016
- Author(s)
  星明考
- Total Pages
  271
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-25400027
[Journal Article] Norm one tori and Hasse norm principle, II: Degree 12 case2023
- Author(s)
  A. Hoshi, K. Kanai, A.Yamasaki
- Journal Title
  
  Journal of Number Theory
  
  Volume: 244 Pages: 84-110
- DOI
  10.1016/j.jnt.2022.09.006
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03511, KAKENHI-PROJECT-19K03418
[Journal Article] Multiplicative Invariant Fields of Dimension ≦ 6.2023
- Author(s)
  A.Hoshi, M.Kang, A.Yamasaki
- Journal Title
  
  Memoirs of the American Mathematical Society
  
  Volume: 283 Issue: 1403 Pages: 1-137
- DOI
  10.1090/memo/1403
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03511, KAKENHI-PROJECT-19K03418
[Journal Article] Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods2022
- Author(s)
  Hoshi Akinari, Kanai Kazuki
- Journal Title
  
  Finite Fields and Their Applications
  
  Volume: 84 Pages: 1-26
- DOI
  10.1016/j.ffa.2022.102101
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03418
[Journal Article] Norm one tori and Hasse norm principle2022
- Author(s)
  A. Hoshi, K. Kanai, A.Yamasaki
- Journal Title
  
  Mathematics of Computation
  
  Volume: 91 Issue: 337 Pages: 2431-2458
- DOI
  10.1090/mcom/3735
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03511, KAKENHI-PROJECT-19K03418
[Journal Article] Rationality problem for norm one tori2021
- Author(s)
  Akinari Hoshi, Aiichi Yamasaki
- Journal Title
  
  Israel Journal of Mathematics
  
  Volume: 241 Issue: 2 Pages: 849-867
- DOI
  10.1007/s11856-021-2117-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03418, KAKENHI-PROJECT-20K03511
[Journal Article] A two-dimensional rationality problem and intersections of two quadrics2021
- Author(s)
  Akinari Hoshi, Ming-Chang Kang, Hidetaka Kitayama, Aiichi Yamasaki
- Journal Title
  
  manuscripta mathematica
  
  Volume: - Issue: 3-4 Pages: 423-437
- DOI
  10.1007/s00229-021-01313-7
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03418, KAKENHI-PROJECT-19K03447
[Journal Article] On Lecacheux’s family of quintic polynomials2021
- Author(s)
  Akinari Hoshi, Masakazu Koshiba
- Journal Title
  
  Proceedings of the Japan Academy, Series A, Mathematical Sciences
  
  Volume: 97 Issue: 1 Pages: 1-6
- DOI
  10.3792/pjaa.97.001
- NAID
  40022466385
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03418
[Journal Article] Degree three unramified cohomology groups and Noether's problem for groups of order 2432020
- Author(s)
  Hoshi Akinari, Kang Ming-chang, Yamasaki Aiichi
- Journal Title
  
  Journal of Algebra
  
  Volume: 544 Pages: 262-301
- DOI
  10.1016/j.jalgebra.2019.08.008
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03418
[Journal Article] Three-dimensional purely quasi-monomial actions2020
- Author(s)
  Akinari Hoshi, Hidetaka Kitayama
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 60 Issue: 1 Pages: 335-377
- DOI
  10.1215/21562261-2019-0008
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K17511, KAKENHI-PROJECT-19K03418, KAKENHI-PROJECT-19K03447
[Journal Article] Rationality problem for norm one tori in small dimensions2020
- Author(s)
  Hasegawa Sumito, Hoshi Akinari, Yamasaki Aiichi
- Journal Title
  
  Mathematics of Computation
  
  Volume: 89 Issue: 322 Pages: 923-940
- DOI
  10.1090/mcom/3469
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03418
[Journal Article] Rationality problems for relation modules of dihedral groups2019
- Author(s)
  Hoshi Akinari, Kang Ming-chang, Yamasaki Aiichi
- Journal Title
  
  Journal of Algebra
  
  Volume: 530 Pages: 368-401
- DOI
  10.1016/j.jalgebra.2019.04.015
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03418
[Journal Article] Rationality problem for algebraic tori2017
- Author(s)
  Akinari Hoshi, Aiichi Yamasaki
- Journal Title
  
  Memoirs of the American Mathematical Society
  
  Volume: 248 Issue: 1176 Pages: 1-215
- DOI
  10.1090/memo/1176
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400027
[Journal Article] Birational classification of fields of invariants for groups of order 1282016
- Author(s)
  Akinari Hoshi
- Journal Title
  
  Journal of Algebra
  
  Volume: 445 Pages: 394-432
- DOI
  10.1016/j.jalgebra.2015.05.035
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400027
[Journal Article] Degree three unramified cohomology groups2016
- Author(s)
  Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki
- Journal Title
  
  Journal of Algebra
  
  Volume: 458 Pages: 120-133
- DOI
  10.1016/j.jalgebra.2016.03.016
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400027
[Journal Article] On Noether's problem for cyclic groups of prime order2015
- Author(s)
  Akinari Hoshi
- Journal Title
  
  Proc. Japan Acad. Ser. A
  
  Volume: 91 Issue: 3 Pages: 39-44
- DOI
  10.3792/pjaa.91.39
- NAID
  40020410863
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400027
[Journal Article] Noether's problem for groups of order 2432015
- Author(s)
  Huah Chu, Akinari Hoshi, Shou-Jen Hu, Ming-chang Kang
- Journal Title
  
  Journal of Algebra
  
  Volume: 442 Pages: 233-259
- DOI
  10.1016/j.jalgebra.2015.03.010
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400027
[Journal Article] Quasi-monomial actions and some 4-dimensional rationality problems2014
- Author(s)
  A. Hoshi, M. Kang and H. Kitayama
- Journal Title
  
  Journal of Algebra
  
  Volume: 403 Pages: 363-400
- DOI
  10.1016/j.jalgebra.2014.01.019
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25247001, KAKENHI-PROJECT-25400027
[Journal Article] Rationality problem for quasi-monomial actions2014
- Author(s)
  Akinari Hoshi
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B51 Pages: 203-227
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400027
[Journal Article] Noether's problem and unramified Brauer groups2013
- Author(s)
  星明考, Ming-chang Kang, Boris E. Kunyavskii
- Journal Title
  
  Asian Journal of Mathematics
  
  Volume: Vol.17 Issue: 4 Pages: 689-714
- DOI
  10.4310/ajm.2013.v17.n4.a8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740028
[Journal Article] Noether's problem and unramified Brauer groups2013
- Author(s)
  Akinari Hoshi, Ming-chang Kang, Boris E. Kunyavskii
- Journal Title
  
  Asian J. Math.
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740028
[Journal Article] On the simplest sextic fields and related2012
- Author(s)
  星明考
- Journal Title
  
  Thue equations
  
  Volume: Vol.47 Issue: 1 Pages: 35-49
- DOI
  10.7169/facm/2012.47.1.3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740028
[Journal Article] Rationality problem of three-dimensional monomial group actions2011
- Author(s)
  星明考, 北山秀隆, 山崎愛一
- Journal Title
  
  Journal of Algebra
  
  Volume: Vol.341 Issue: 1 Pages: 45-108
- DOI
  10.1016/j.jalgebra.2011.06.004
- ISSN
  0021-8693
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740028
[Journal Article] On correspondence between solutions of a family of cubic Thue equations and isomorphism classes of the simplest cubic fields2011
- Author(s)
  星明考
- Journal Title
  
  Journal of Number Theory
  
  Volume: Vol.131 Issue: 11 Pages: 2135-2150
- DOI
  10.1016/j.jnt.2011.05.001
- ISSN
  0022-314X
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740028
[Journal Article] Twisted symmetric group actions2010
- Author(s)
  星明考, Ming-chang Kang
- Journal Title
  
  Pacific Journal of Mathematics
  
  Volume: Vol.248 Issue: 2 Pages: 285-304
- DOI
  10.2140/pjm.2010.248.285
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740028
[Journal Article] On the field intersection problem of solvable quintic generic polynomials2010
- Author(s)
  星明考, 三宅克哉
- Journal Title
  
  International Journal of Number Theory
  
  Volume: Vol.6 Issue: 05 Pages: 1047-1081
- DOI
  10.1142/s179304211000337x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740028
[Journal Article] Some Diophantine problems arising from the isomorphism problem of generic polynomials2010
- Author(s)
  Akinari Hoshi, Katsuya Miyake
- Journal Title
  
  Number Theory : Dreaming in Dreams(World Scientific Publication)
  
  Pages: 87-105
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] On the field intersection problem of solvable quintic generic polynomials2010
- Author(s)
  星明考、三宅克哉
- Journal Title
  
  International Journal of Number Theory
  
  Volume: 6 Pages: 1047-1081
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740028
[Journal Article] Twisted symmetric group actions2010
- Author(s)
  星明考、Ming-chang Kang
- Journal Title
  
  Pacific Journal of Mathematics
  
  Volume: 248 Pages: 285-304
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740028
[Journal Article] A note on the field isomorphism problem of X^3+sX+s and related cubic Thue equations2010
- Author(s)
  Akinari Hoshi, Katsuya Miyake
- Journal Title
  
  Interdisciplinary Information Sciences, Special Section : Japan-Korea Joint Seminar on Number Theory and Related Topics 2008 16
  
  Pages: 45-54
- NAID
  110009794873
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] On the field intersection problem of generic polynomials : a survey2009
- Author(s)
  Akinari Hoshi, Katsuya Miyake
- Journal Title
  
  RIMS Kokyuroku Bessatsu 掲載決定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Journal Article] A geometric framework for the subfield problem of generic polynomials via Tschirnhausen transformation2009
- Author(s)
  Akinari Hoshi, Katsuya Miyake
- Journal Title
  
  Number theory and applications(Hindustan Book Agency)
  
  Pages: 65-104
- NAID
  120002221372
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] On the field intersection problem of quartic generic polynomials via formal Tchirnhausen transformation2009
- Author(s)
  Akinari Hoshi, Katsuya Miyake
- Journal Title
  
  Commentarii Mathematici Universitatis Sancti Pauli 58
  
  Pages: 51-86
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] On the field intersection problem of quartic generic polynomials via formal Tschirnhausen transformation2009
- Author(s)
  Akinari Hoshi, Katsuya Miyake
- Journal Title
  
  Commentarii Mathematici Universitatis Sancti Pauli 58
  
  Pages: 51-86
- NAID
  110007689204
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] A note on the field isomorphism problem of X^3+sX+s and related cubic Thue equations2009
- Author(s)
  Akinari Hoshi, Katsuya Miyake
- Journal Title
  
  Special issue of Interdisciplinary of Information Sciences (IIS) 掲載決定
- NAID
  110009794873
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Journal Article] A geometric framework for the subfield problem of generic polynomials via Tschirnhausen transformation2009
- Author(s)
  Akinari Hoshi, Katsuya Miyake
- Journal Title
  
  The Proceedings of The International Conference of Number Thery held at Harish-Chabdra Reserch Institute 出版確定
  
  Pages: 65-104
- NAID
  120002221372
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Journal Article] On the field intersection problem of generic polynomials : a survey2009
- Author(s)
  Akinari Hoshi, Katsuya Miyake
- Journal Title
  
  RIMS Ko^kyu^roku Bessatsu(数理解析研究所講究録別冊) B12
  
  Pages: 231-247
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Ratio nality problem of three-dimensional pure ly monomial group actions : the last case2008
- Author(s)
  Akinari Hoshi, Yuichi Rikuna
- Journal Title
  
  Math. Comp no.263
  
  Pages: 1823-1829
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Noether's problem and Q-generic polynomials for the normalizer of the 8-cycle in S_8 and its subgroups2008
- Author(s)
  K.Hashimoto, A.Hoshi, and Y.Rikuna
- Journal Title
  
  Mathematics of Computation 77
  
  Pages: 1153-1183
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Journal Article] Noether's problem and Q-generic polynomials for the normalizer of the 8-cycle in S_8 and its subgroups2008
- Author(s)
  Ki-ichiro Hashimoto, Akinari Hoshi, Yuichi Rikuna
- Journal Title
  
  Mathematics of Computation 77no.262
  
  Pages: 1153-1183
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Noether's problem and Q-generic polynomials for the normalizer of the 8-cycle in S-8 and its subgroups2008
- Author(s)
  K. Hashimoto, A. Hoshi, and Y. Rikuna
- Journal Title
  
  Mathematics of Computation 77
  
  Pages: 1153-1183
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Journal Article] Rationality problem of three-dimensional purely monomial group actions: the last case2008
- Author(s)
  Akinari Hoshi, Yuichi Rikuna
- Journal Title
  
  Math. Comp. 77,no.263
  
  Pages: 1823-1829
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Rationality problem of three-dimensional purely monomial group actions : the last case2008
- Author(s)
  Akinari Hoshi, Yuichi Rikuna
- Journal Title
  
  Math. Comp. 77, no. 263
  
  Pages: 1823-1829
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] A rationality problem of some Cremona transformation2008
- Author(s)
  Akinari Hoshi, Ming Chang Kane
- Journal Title
  
  Proc. Japan Acad. Ser. A 84, no. 8
  
  Pages: 133-137
- NAID
  40016323260
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Tschirnhausen Transformation of a Cubic Generic Polynomial and a 2-dimensional Involutive Cremona Transformation2007
- Author(s)
  Akinari Hoshi and Katsuya Miyake
- Journal Title
  
  Proc.Japan Acad. 83,Ser.A
  
  Pages: 21-26
- NAID
  40015348843
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Journal Article] Tschirnhausen transformation of a cubic generic polynomial and a 2-dimensional involutive Cremona transformation2007
- Author(s)
  Akinari Hoshi, Katsuya Miyake
- Journal Title
  
  Proc.Japan Acad Ser.A83
  
  Pages: 21-26
- NAID
  40015348843
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Tschirnhausen Transformation of a Cubic Generic Polynomial and a 2-dimensional Involutive Cremona Transformation, Proc2007
- Author(s)
  Akinari Hoshi and Katsuya Miyake
- Journal Title
  
  Japan Acad. 83, Ser. A
  
  Pages: 21-26
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Journal Article] Tschirnhausen transformation of a cubic generic polynomial and a 2-dimensional involutive Cremona transformation2007
- Author(s)
  Akinari Hoshi, Katsuya Miyake
- Journal Title
  
  Proceedings of the Japan Academy, Series A 83(掲載決定済)
- NAID
  40015348843
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Explicit lifts of quintic Jacobi sums and period polynomials for F_q2006
- Author(s)
  Akinari Hoshi
- Journal Title
  
  Proceedings of the Japan Academy, Series A 82・7
  
  Pages: 87-92
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] A note on the field isomorphism problem of X^3+sX+s and related cubic Thue equations
- Author(s)
  Akinari Hoshi and Katsuya Miyake
- Journal Title
  
  Special issue of Interdisciplinary of Information Sciences (IIS) to appear ; arXiv : 0901.4831v1 [math. NT]
- NAID
  110009794873
- URL
  http://arxiv.org/abs/0901.4831
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Journal Article] A geometric framework for the subfield problem of generic polynomials via Tschirnhausen transformation
- Author(s)
  Akinari Hoshi and Katsuya Miyake
- Journal Title
  
  The Proceedings of The International Conference of Number Thery held at Harish-Chabdra Reserch Institute to appear, arXiv : 0710. 0287v2 [math. NT]
- NAID
  120002221372
- URL
  http://arxiv.org/abs/0710.0287v2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Journal Article] Rationality problem of three-dimensional purely monomial group actions:the last case
- Author(s)
  Akinari Hoshi, Yuichi Rikuna
- Journal Title
  
  Mathematics of Computation (掲載決定済)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Rationality problem of three-dimensional purely monomial group actions:the last case
- Author(s)
  A.Hoshi and Y.Rikuna
- Journal Title
  
  Mathematics of Computations (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Journal Article] On the field intersection problem of generic polynomials : a survey
- Author(s)
  Akinari Hoshi and Katsuya Miyake
- Journal Title
  
  RIMS Kokyuroku Bessatsu to appear ; arXiv : 0804. 4875v1 [math. NT]
- URL
  http://arxiv.org/abs/0810.0382v1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Presentation] Birational classification for algebraic tori2023
- Author(s)
  Akinari Hoshi
- Organizer
  湯布院代数幾何学ワークショップ
- Invited
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Birational classification for algebraic tori (I)2023
- Author(s)
  Akinari Hoshi, Aiichi Yamasaki
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Hasse norm principle for $M_{11}$ extensions2023
- Author(s)
  Akinari Hoshi, Kazuki Kanai, Aiichi Yamasaki
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Birational classification for algebraic tori (I)2022
- Author(s)
  Akinari Hoshi
- Organizer
  新潟代数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Birational classification for algebraic tori (III)2022
- Author(s)
  Akinari Hoshi
- Organizer
  新潟代数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Hasse norm principle for $M_{11}$ extensions2022
- Author(s)
  Akinari Hoshi
- Organizer
  新潟代数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Rationality problem for fields of invariants2021
- Author(s)
  星明考
- Organizer
  名城大学理工学部数学科談話会
- Invited
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Rationality problem for fields of invariants2021
- Author(s)
  Akinari Hoshi
- Organizer
  Homotopic and Geometric Galois Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Rationality problem for fields of invariants2021
- Author(s)
  Akinari Hoshi
- Organizer
  Degenerations and models of algebraic varieties and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods2021
- Author(s)
  星明考，金井和貴
- Organizer
  日本数学会2021年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Rationality problem for fields of invariants2020
- Author(s)
  Akinari Hoshi
- Organizer
  第18回代数曲線論シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Norm one tori and Hasse norm principle2020
- Author(s)
  Akinari Hoshi, Kazuki Kanai, Aiichi Yamasaki
- Organizer
  日本数学会2020年度年会
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Norm one tori and Hasse norm principle, II2020
- Author(s)
  Akinari Hoshi, Kazuki Kanai, Aiichi Yamasaki
- Organizer
  日本数学会2020年度年会
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Rationality problem for fields of invariants2019
- Author(s)
  Akinari Hoshi
- Organizer
  第41回可換環論シンポジウム
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Degree three unramified cohomology groups and Noether's problem for groups of order 2432019
- Author(s)
  Akinari Hoshi
- Organizer
  射影多様体の幾何とその周辺 2019
- Invited
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Degree three unramified cohomology groups and Noether's problem for groups of order 2432019
- Author(s)
  Akinari Hoshi
- Organizer
  NCTS Seminar on Algebra
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Degree three unramified cohomology groups and Noether's problem for groups of order 2432019
- Author(s)
  Akinari Hoshi
- Organizer
  第15回多項式環論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Multiplicative invariant fields of dimension n <= 62017
- Author(s)
  Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki
- Organizer
  日本数学会年会
- Place of Presentation
  首都大学東京（東京都・八王子市）
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] Rationality problem for fields of invariants2017
- Author(s)
  Akinari Hoshi
- Organizer
  第15回アフィン代数幾何学研究集会
- Place of Presentation
  関西学院大学（大阪府・大阪市）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] Degree three unramifed cohomology groups (II)2017
- Author(s)
  Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki
- Organizer
  日本数学会年会
- Place of Presentation
  首都大学東京（東京都・八王子市）
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] Relation modules of dihedral groups2017
- Author(s)
  Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki
- Organizer
  日本数学会年会
- Place of Presentation
  首都大学東京（東京都・八王子市）
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] Degree three unramified cohomology groups2016
- Author(s)
  Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki
- Organizer
  日本数学会年会
- Place of Presentation
  筑波大学 (茨城県・つくば市)
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] On Noether's problem for cyclic groups of prime order2016
- Author(s)
  Akinari Hoshi
- Organizer
  日本数学会年会
- Place of Presentation
  筑波大学 (茨城県・つくば市)
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] Bravais group of dimension n ≤ 6 and corresponding quadratic forms2016
- Author(s)
  Akinari Hoshi, Aiichi Yamasaki
- Organizer
  日本数学会年会
- Place of Presentation
  筑波大学 (茨城県・つくば市)
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] Three-dimensional purely quasi-monomial actions2016
- Author(s)
  Akinari Hoshi, Hidetaka Kitayama
- Organizer
  日本数学会年会
- Place of Presentation
  筑波大学 (茨城県・つくば市)
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] Birational classification of fields of invariants for groups of order 1282016
- Author(s)
  Akinari Hoshi
- Organizer
  Workshop on Galois point and related topics
- Place of Presentation
  新潟大学駅南キャンパスときめいと（新潟県・新潟市）
- Invited
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] Rationality problem for fields of invariants2016
- Author(s)
  Akinari Hoshi
- Organizer
  代数多様体の有理性と自己写像
- Place of Presentation
  京都大学数理解析研究所（京都府・京都市）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] Rationality problem for fields of invariants2016
- Author(s)
  Akinari Hoshi
- Organizer
  Japan-Taiwan Joint conference on Number theory 2016
- Place of Presentation
  国立台湾大学国家理論科学研究中心数学組(台北事務室)（台湾・台北）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] Rationality problem for fields of invariants2016
- Author(s)
  Akinari Hoshi
- Organizer
  等距離写像研究の多角的アプローチ
- Place of Presentation
  京都大学数理解析研究所（京都府・京都市）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] Rationality problem for fields of invariants2016
- Author(s)
  Akinari Hoshi
- Organizer
  代数的整数論とその周辺
- Place of Presentation
  京都大学数理解析研究所（京都府・京都市）
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] Birational classification of fields of invariants for groups of order 1282015
- Author(s)
  Akinari Hoshi
- Organizer
  日本数学会年会
- Place of Presentation
  明治大学
- Year and Date
  2015-03-23
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] Birational classification of fields of invariants for groups of order 1282015
- Author(s)
  Akinari Hoshi
- Organizer
  第11回代数曲面ワークショップ at 秋葉原
- Place of Presentation
  首都大学東京秋葉原サテライトキャンパス (東京都・千代田区)
- Year and Date
  2015-10-24
- Invited
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] On the simplest number fields and related Thue equations2015
- Author(s)
  Akinari Hoshi
- Organizer
  The 4th International Congress on Natural Sciences
- Place of Presentation
  国立彰化師範大学 (台湾)
- Year and Date
  2015-09-10
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] On the simplest number fields and related Thue equations2015
- Author(s)
  Akinari Hoshi
- Organizer
  29th Journees Arithmetiques
- Place of Presentation
  デブレツェン大学 (ハンガリー)
- Year and Date
  2015-07-09
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] On Noether's problem for cyclic groups of prime order2015
- Author(s)
  Akinari Hoshi
- Organizer
  計算代数システムによる新しい数学の開拓と進展
- Place of Presentation
  京都大学数理解析研究所 (京都府・京都市)
- Year and Date
  2015-09-30
- Invited
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] Rationality problem for algebraic tori2014
- Author(s)
  Akinari Hoshi, Aiichi Yamasaki
- Organizer
  国際数学者会議 SEOUL ICM 2014
- Place of Presentation
  Coex，ソウル
- Year and Date
  2014-08-19
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] Rationality problem for fields of invariants2014
- Author(s)
  Akinari Hoshi
- Organizer
  射影多様体の幾何とその周辺 2014
- Place of Presentation
  高知大学
- Year and Date
  2014-11-03
- Invited
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] Birational classification of fields of invariants for groups of order 1282014
- Author(s)
  Akinari Hoshi
- Organizer
  New Developments in Algebraic Geometry
- Place of Presentation
  国立台湾大学
- Year and Date
  2014-09-05
- Invited
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] Krull-Schmidt theorem fails for dimension 52013
- Author(s)
  星明考, 山崎愛一
- Organizer
  日本数学会
- Place of Presentation
  京都大学
- Year and Date
  2013-03-23
- Data Source
  KAKENHI-PROJECT-22740028
[Presentation] Unramified Brauer groups for groups of order p^52012
- Author(s)
  星明考, Ming-chang Kang
- Organizer
  日本数学会
- Place of Presentation
  東京理科大学
- Year and Date
  2012-03-26
- Data Source
  KAKENHI-PROJECT-22740028
[Presentation] Rationality problem for algebraic tori2012
- Author(s)
  星明考, 山崎愛一
- Organizer
  日本数学会
- Place of Presentation
  九州大学
- Year and Date
  2012-09-19
- Data Source
  KAKENHI-PROJECT-22740028
[Presentation] Noether's problem and unramified Brauer groups2012
- Author(s)
  星明考, Ming-chang Kang, Boris E, Kunyavskii
- Organizer
  日本数学会
- Place of Presentation
  九州大学
- Year and Date
  2012-09-19
- Data Source
  KAKENHI-PROJECT-22740028
[Presentation] Quasi-monomial actions and some 4-dimensional rationality problems2012
- Author(s)
  星明考, Ming-chang Kang, 北山秀隆
- Organizer
  日本数学会
- Place of Presentation
  東京理科大学
- Year and Date
  2012-03-26
- Data Source
  KAKENHI-PROJECT-22740028
[Presentation] Rationality problem of three-dimensional monomial group actions(joint work with H.Kitayama and A.Yamasaki)2010
- Author(s)
  星明考
- Organizer
  第5回アフィン代数幾何学研究集会
- Place of Presentation
  関西学院大学
- Year and Date
  2010-03-05
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] On the simplest sextic fields and related Thue equations2010
- Author(s)
  星明考
- Organizer
  日本数学会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-25
- Data Source
  KAKENHI-PROJECT-22740028
[Presentation] On the simplest cubic fields and related Thue equations2010
- Author(s)
  星明考
- Organizer
  日本数学会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-25
- Data Source
  KAKENHI-PROJECT-22740028
[Presentation] Rationality problem of twisted symmetric group actions2010
- Author(s)
  星明考
- Organizer
  日本数学会2010年度年会
- Place of Presentation
  慶應大学
- Year and Date
  2010-03-27
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] Three-dimensional monomial group actions2009
- Author(s)
  星明考, 北山秀隆, 山崎愛一
- Organizer
  日本数学会2009年度秋季総合分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-25
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] Rationality problem for three-dimensional monomial group actions2009
- Author(s)
  星明考, 北山秀隆, 山崎愛一
- Organizer
  北陸数論研究集会・ガロア理論とその周辺(共催)
- Place of Presentation
  金沢大学サテライトプラザ
- Year and Date
  2009-12-27
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] On the simplest quartic fields and related Thue equations2009
- Author(s)
  星明考
- Organizer
  The Joint Conference of ASCM2009 and MACIS2009
- Place of Presentation
  JALリゾートシーホークホテル福岡
- Year and Date
  2009-12-16
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] On correspondence between solutions of a parametric family of cubic Thue equations and isomorphism classes of simplest cubic fields2009
- Author(s)
  星明考
- Organizer
  研究集会「Diophantine Analysis and Related Fields 2009」
- Place of Presentation
  日本大学
- Year and Date
  2009-03-02
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] Simple families of cyclic polynomials and related problems2009
- Author(s)
  星明考
- Organizer
  北陸数論研究集会・ガロア理論とその周辺(共催)
- Place of Presentation
  金沢大学サテライトプラザ
- Year and Date
  2009-12-26
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] On correspondence between solutions of a parametric family of cubic Thue equations and isomorphism classes of simplest cubic fields2009
- Author(s)
  Akinari Hoshi
- Organizer
  Diophantine Analysis and Related Fields 2009
- Place of Presentation
  日本大学
- Year and Date
  2009-03-02
- Data Source
  KAKENHI-PROJECT-19540057
[Presentation] On the field isomorphism problem of X^3+sX+s and related cubic Thue equations2009
- Author(s)
  星明考, 三宅克哉
- Organizer
  日本数学会2009年度秋季総合分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-25
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] On the simplest quartic fields and related Thue equations2009
- Author(s)
  星明考
- Organizer
  The Joint Conference of ASCM2009 and MACIS2009
- Place of Presentation
  JALリゾートシーホークホテル福岡
- Year and Date
  2009-12-16
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] 生成的多項式の同型問題に対する考察2008
- Author(s)
  星明考, 三宅克哉
- Organizer
  日本数学会2008年度秋期総合分科会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-27
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] Some Diophantine problems arising from the isomorphism problem of generic polynomials2008
- Author(s)
  星明考, 三宅克哉
- Organizer
  第5回日中数論セミナー
- Place of Presentation
  近畿大学
- Year and Date
  2008-08-27
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] Some Diophantine problems arising from the isomorphism problem of generic polynomials2008
- Author(s)
  Akinari Hoshi and Katsuya Miyake
- Organizer
  第5回日中数論セミナー
- Place of Presentation
  近畿大学
- Year and Date
  2008-08-27
- Data Source
  KAKENHI-PROJECT-19540057
[Presentation] 生成的多項式の共通部分体問題に対する考察2008
- Author(s)
  星明考
- Organizer
  研究集会「可換Banach環と関連分野研究集会」(第77回米沢数学セミナー)
- Place of Presentation
  山形大学
- Year and Date
  2008-07-02
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] On the field isomorphism problem of generic polynomials via formal Tschirnhausen transformation2008
- Author(s)
  Akinari Hoshi and Katsuya Miyake
- Organizer
  日韓整数論セミナー2008
- Place of Presentation
  東北大学
- Year and Date
  2008-11-12
- Data Source
  KAKENHI-PROJECT-19540057
[Presentation] On the field isomorphism problem of generic polynomials via formal Tsohirnhausen transformation2008
- Author(s)
  Akinari Hoshi, Katsuya Miyake
- Organizer
  ガロア理論とその周辺徳島2008
- Place of Presentation
  徳島大学
- Year and Date
  2008-09-09
- Data Source
  KAKENHI-PROJECT-19540057
[Presentation] On the field isomorphism problem of generic polynomials via formal Tschirnhausen transformation2008
- Author(s)
  星明考, 三宅克哉
- Organizer
  日韓整数論セミナー2008
- Place of Presentation
  東北大学
- Year and Date
  2008-11-12
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] 生成的多項式の共通部分体問題に対する考察2008
- Author(s)
  Akinari Hoshi
- Organizer
  可換Banach環と関連分野研究集会(第77回米沢数学セミナー)
- Place of Presentation
  山形大学理学部
- Year and Date
  2008-07-02
- Data Source
  KAKENHI-PROJECT-19540057
[Presentation] On the field interse ction problem of generic polynomials vi a resolvent polynomials2008
- Author(s)
  Akinari Hoshi
- Organizer
  Foundations of Computational Mathematics (FoCM'08) WORKSHOP C4 Computational number theory
- Place of Presentation
  香港城市大学
- Year and Date
  2008-06-24
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] 生成的多項式の共通部分体問題に対する考察2008
- Author(s)
  Akinari Hoshi
- Organizer
  可換Banach環と関連分野研究集会(第77回米沢数学セミナー)
- Place of Presentation
  山形大学
- Year and Date
  2008-07-02
- Data Source
  KAKENHI-PROJECT-19540057
[Presentation] On the field intersection problem of generic polynomials via resolvent polynomials2008
- Author(s)
  星明考
- Organizer
  Foundations of Computational Mathematics (FoCM'08) WORKSHOP C4 Computational number theory
- Place of Presentation
  香港城市大学
- Year and Date
  2008-06-24
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] On the field isomorphism problem of generic polynomials via formal Tschirnhausen transformation2008
- Author(s)
  Akinari Hoshi and Katsuya Miyake
- Organizer
  ガロア理論とその周辺徳島2008
- Place of Presentation
  徳島大学
- Year and Date
  2008-09-09
- Data Source
  KAKENHI-PROJECT-19540057
[Presentation] On the field isomorphism problem of generic polynomials via formal Tschirnhausentransformation2008
- Author(s)
  星明考, 三宅克哉
- Organizer
  研究集会「Galois理論とその周辺・徳島2008」
- Place of Presentation
  徳島大学
- Year and Date
  2008-09-09
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] On the field intersection problem of generic polynomials via resolvent polynomials2008
- Author(s)
  Akinari Hoshi
- Organizer
  Foundations of Computational Mathematics (FoCM'08)WORKSHOP C4 Computational number theory
- Place of Presentation
  香港城市大学
- Year and Date
  2008-06-24
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] On the field intersection problem of generic polynomials via resolvent polynomials2008
- Author(s)
  Akinari Hoshi
- Organizer
  Foundations of Computational Mathematics (FoCM'08) WORKSHOP C4Computational number theory
- Place of Presentation
  香港城市大学, 中国
- Year and Date
  2008-06-24
- Data Source
  KAKENHI-PROJECT-19540057
[Presentation] On the field intersection problem of generic polynomials via resolvent polynomials2008
- Author(s)
  Akinari Hoshi
- Organizer
  Foundations of Computational Mathematics (FoCM '08)WORKSHOP C4 Computational number theory
- Place of Presentation
  香港城市大学, 中国
- Year and Date
  2008-06-24
- Data Source
  KAKENHI-PROJECT-19540057
[Presentation] 生成的多項式の同型問題に対する考察2008
- Author(s)
  Akinari Hoshi and Katsuya Miyake
- Organizer
  日本数学会2008年度秋期総合分科会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-27
- Data Source
  KAKENHI-PROJECT-19540057
[Presentation] Galois逆問題における構成的研究(入門)-生成的多項式とネーターの問題2007
- Author(s)
  星明考
- Organizer
  研究集会「Workshop on Galois point and related topics」
- Place of Presentation
  神奈川大学富士見高原研修所
- Year and Date
  2007-07-01
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] Tschirnhausen transformation of a cubic generic polynomial and a 2-dimensional involutive Cremona transformation2007
- Author(s)
  Akinari Hoshi
- Organizer
  NCTS Short Course on Number Theory(Prof.K.Miyake), 国家理論科学研究中心数学組
- Place of Presentation
  国立清華大学,台湾
- Year and Date
  2007-06-27
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] Cubic generic polynomials and some Cremona transformationa2007
- Author(s)
  Akinari Hoshi
- Organizer
  Seminar of Algebra
- Place of Presentation
  NCTS at Taiwan Univ.
- Year and Date
  2007-07-26
- Data Source
  KAKENHI-PROJECT-19540057
[Presentation] Cubic generic polynomials and some Cremona transformation2007
- Author(s)
  Akinari Hoshi
- Organizer
  Seminar of Algebra
- Place of Presentation
  CTS at Taiwan Univ
- Year and Date
  2007-07-26
- Data Source
  KAKENHI-PROJECT-19540057
[Presentation] チルンハウス変換と3次生成的多項式に対する同型問題について2007
- Author(s)
  星明考
- Organizer
  研究集会「可換Banach3環と関連分野研究集会」(第74回米沢数:学セミナー)
- Place of Presentation
  山形大学
- Year and Date
  2007-07-11
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] 生成的多項式の同型問題への考察(三宅克哉氏との共同研究)2007
- Author(s)
  星明考
- Organizer
  研究集会「代数学と計算」
- Place of Presentation
  首都大学東京
- Year and Date
  2007-12-06
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] A geometric framework for the subfield problem of generic polynomialsvia Tschirnhausen transformation(三宅克哉氏との共同研究)2007
- Author(s)
  星明考
- Organizer
  研究集会「代数的整数論とその周辺」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2007-12-14
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] Cubic generic polynomials and some Cremona transformations(joint work with Prof.K.Miyake)2007
- Author(s)
  Akinari Hoshi
- Organizer
  Seminar of Algebra(Prof.M.Kang), 国家理論科学研究中心数学組(台北事務室)
- Place of Presentation
  国立台湾大学,台湾
- Year and Date
  2007-07-26
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] A geometric framework for the subfield problem of generic polynomials via Tschirnhausen transformation2007
- Author(s)
  Akinari Hoshi and Katsuya Miyake
- Organizer
  代数的整数論とその周辺
- Place of Presentation
  京大数理解析研究所
- Year and Date
  2007-12-14
- Data Source
  KAKENHI-PROJECT-19540057
[Presentation] A geometric framework for the subfield problem of generic polynomials via Tschirnhausen transformation2007
- Author(s)
  Akinari Hoshi and Katsuya Miyake
- Organizer
  ガロア理論とその周辺
- Place of Presentation
  山形大学理学部
- Year and Date
  2007-11-04
- Data Source
  KAKENHI-PROJECT-19540057
[Presentation] 生成的多項式の同型問題への考察2007
- Author(s)
  Akinari Hoshi
- Organizer
  代数学と計算
- Place of Presentation
  首都大学東京
- Year and Date
  2007-12-06
- Data Source
  KAKENHI-PROJECT-19540057
[Presentation] A geometric framework for the subfield problem of generic polynomialsvia Tschirnhausen transformation2007
- Author(s)
  星明考, 三宅克哉
- Organizer
  研究集会「ガロア理論とその周辺」
- Place of Presentation
  山形大学
- Year and Date
  2007-11-04
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] Class numbers and algebraic tori
- Author(s)
  Aiichi Yamasaki, Akinari Hoshi, Ming-chang Kang
- Organizer
  日本数学会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-25400027
[Presentation] Krull-Schmidt theorem fails for dimension 5
- Author(s)
  星明考、山崎愛一
- Organizer
  日本数学会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-22740028
[Presentation] Rationality problem for algebraic tori
- Author(s)
  星明考、山崎愛一
- Organizer
  日本数学会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-22740028
[Presentation] Noether's problem and unramified Brauer groups
- Author(s)
  Akinari Hoshi, Ming-chang Kang, Boris E. Kunyavskii
- Organizer
  日本数学会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-22740028

1. RIKUNA Yuuichi (10434309)

# of Collaborated Projects: 3 results

# of Collaborated Products: 8 results
2. KOMATSU Tooru (10403974)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. TSUNOGAI Hiroshi (20267412)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. 山崎愛一 (10283590)

# of Collaborated Projects: 3 results

# of Collaborated Products: 12 results
5. TSUZUKI Masao (80296946)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. UMEGAKI Atsuki (60329109)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. MORIYAMA Tomonori (80384171)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. MIYAKE Katsuya (20023632)

# of Collaborated Projects: 1 results

# of Collaborated Products: 15 results
9. KISHI Yasuhiro (60380375)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. GOMI Yasushi (50276515)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. NAKASUJI Maki (30609871)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 中村博昭 (60217883)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 河澄響矢 (30214646)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 森下昌紀 (40242515)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 伊吹山知義 (60011722)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 古庄英和 (60377976)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 高橋浩樹 (90291476)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 小笠原健 (90709776)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 木田雅成 (20272057)

# of Collaborated Projects: 1 results

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20. 岡田拓三 (20547012)

# of Collaborated Projects: 1 results

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21. 安田健彦 (30507166)

# of Collaborated Projects: 1 results

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22. 山木壱彦 (80402973)

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23. 下元数馬 (70588780)

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24. 小島秀雄 (90332824)

# of Collaborated Projects: 1 results

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25. 橋詰健太 (40934211)

# of Collaborated Projects: 1 results

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26. 北山秀隆

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results

Hoshi Akinari 星 明考

HOSHI Akinari 星 明考

Research Projects

Research Products

Co-Researchers

Number theory and algebraic geometry and computer mathematics - New developments on rationality problems for algebraic varieties -Principal Investigator

Principal Investigator

Project Period (FY)

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Review Section

Research Institution

Rationality problems and their applications to number theory

Principal Investigator

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Review Section

Research Institution

数論トポロジーと種々のモノドロミー不変量の新たな展開

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Unramified cohomology groups and rationality problem for fields of invariantsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Rationality problem for fields of invariantsPrincipal Investigator

Principal Investigator

Project Period (FY)

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A computational research on number fields and coverings with non-commutative Galois groups

Principal Investigator

Project Period (FY)

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A study on constructive inverse Galois problemPrincipal Investigator

Principal Investigator

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Development of Number Theory based on Generic Polynomials

Principal Investigator

Project Period (FY)

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A computational study on extensions of algebraic number fields with non-commutative Galois groups

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Project Period (FY)

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Research Institution

[Book] 要点明解 線形数学 三訂版2022

Author(s)

Total Pages

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Data Source

[Book] 構成的ガロア逆問題と不変体の有理性問題（第27回整数論サマースクール報告集）2020

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[Book] 要点明解線形数学2016

Author(s)

Total Pages

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[Book] 群論序説2016

Author(s)

Total Pages

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Data Source

[Journal Article] Norm one tori and Hasse norm principle, II: Degree 12 case2023

Hoshi Akinari 星明考

HOSHI Akinari 星明考

[Book] 要点明解　線形数学　三訂版2022