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Komatsu Keiichi  小松 啓一

ORCIDConnect your ORCID iD *help
… Alternative Names

小松 啓一  コマツ ケイイチ

KOMATSU Keiichi  小松 啓一

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Researcher Number 80092550
Other IDs
External Links
Affiliation (Current) 2025: 早稲田大学, 理工学術院, 名誉教授
Affiliation (based on the past Project Information) *help 2012 – 2015: 早稲田大学, 理工学術院, 教授
2004 – 2009: 早稲田大学, 理工学術院, 教授
2007: 早稲田大学, 理工学部, 教授
1997 – 2003: 早稲田大学, 理工学部, 教授
1995: 東京農工大学, 工学部, 教授 … More
1993 – 1994: 東京農工大学, 農学部, 助教授
1989 – 1991: 東京農工大学, 農学部, 助教授
1986 – 1987: 東京農工大学, 農学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra / 代数学・幾何学
Except Principal Investigator
Algebra / Algebra / 解析学 / Geometry / 代数学・幾何学
Keywords
Principal Investigator
ray class field / Jacobian variety / Siegel modular function / unit / 単数 / 単数群 / Minkowski units / 類数 / 正規底 / λ-invariant … More / abelian variety / theta function / 虚数乗法 / ラムダ不変量 / アーベル多様体 / elliptic curve / Birch-Swinnerton-Dyer conjecture / abelian extension / Kroneckerの極限公式 / L-関数 / Siegel modular関数 / 楕円曲線 / Birch-Swinnerton-Dyer予想 / アーベル拡大 / normal bases / a Jacobian variety / a Siegel modula function / a ray class field / Z_P-拡大 / Greenberg予想 / ヤコーヒー多様体 / 志村の相互法則 / ヤコービ多様体 / ray class Field / Minkowshi units / 志村のアーベル多様体 / Z_l-拡大 / Z_p-拡大 / 岩澤理論 / 類体 / Hilhert modular function / CM体 / 虚ア-ペル体 / elliptic modular function / Zp-拡大 / 虚2次体 / pーrank / Zpー拡大 / 分岐指数 / pーsylow部分群 / Kー群 / zetaー関数 / 代数体 … More
Except Principal Investigator
ガロア群 / 巡回多項式 / ガウス周期 / ヤコビ多様体 / 代数曲線 / ガロアの逆問題 / ガロア理論 / アーベル多様体 / 保型形式 / リー群 / ペロン・フロベニウス固有値 / カルタン行列 / ブロック / モジュラー表現 / 表現 / 有限群 / 超越数 / Gaussian Periods / Meta abelian Group / Cyclic Polynomial / Noether's Problem / Generic Polynomial / Inverse Galois Problems / Galois Group / Galois Theory / Generic Polynomials / Stable derivarion algebra / Abelian surface / Modular forms / Z_p extension / Inverse Galois problem / Generic polynomials / Galois theory / メタアーベル群 / ネーターの問題 / 生成的多項式 / ガロア逆問題 / cycle extension / period equation / Galois group / Lehmer project / cyclic polynomial / Gaussian period / Inverse Galois Problem / abelian equations / Kummer拡大 / ガウス和 / ヤコビ和 / cyclotomic numbers / アーベル方程式 / 巡回方程式 / 巡回拡大 / 周期方程式 / Lehmerプロジェクト / アーベール方程式 / Q-curves / algebraic curvers / abelian varieties / modular forms / jacobian variety / Taniyama-Simura Conjecture / modular curves / elliptic curves / テータ級数 / Q-曲線 / アーベル曲面 / modularity / Q-curve / モジュラー形式 / 谷山-志村予想 / モジュラー曲線 / 楕円曲線 / ライトヒルの方法 / PLK法 / 初期値問題 / 不変式 / 生成多項式 / 有理関数体 / クレモナ変換群 / ネーター問題 / ベクトル値保型形式 / 球関数 / Langlands予想 / 志村対応 / Harder予想 / モジュライ / 超特異 / 特殊関数 / 微分作用素 / 次元公式 / L関数 / ヤコービ形式 / 半整数ウェイト / ラングランズ予想 / テータ関数 / 超特異アーベル多様体 / ホロノミー系 / ジーゲル保型形式 / セルバーグ跡公式 / 2次形式 / 跡公式 / ゼータ関数 / 整数論 / 等長変換群 / 円 / ラプラシアン / 分岐重複度 / 分岐定理 / ポントリャ-ギン輪体 / 安定性 / 極小部分多様体 / ブラウア-予想 / ディフェクト群 / 巾零指数 / 根基 / 巡回拡大のK群 / スワン導手 / ブロックのカルタン行列 / グリ-ン関数 / クンマ-関数 / フ-リエ変換 / 無限次元リ-環 / 局所パラメ-タ / 形式群 / ゼ-タ関数 Less
  • Research Projects

    (19 results)
  • Research Products

    (31 results)
  • Co-Researchers

    (29 People)
  •  On Weber's class number one problemPrincipal Investigator

    • Principal Investigator
      Komatsu Keiichi
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  Noether's Problem for Cremona Groups over algebraic number fields and its application to Number theory

    • Principal Investigator
      HASHIMOTO Kiichiro
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  Explicit Study of Automorphic Forms of Several Variables and Algebraic and Geometric Invariants

    • Principal Investigator
      IBUKIYAMA Tomoyoshi
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Special values of Siegel modular functions and Jacobian varietyPrincipal Investigator

    • Principal Investigator
      KOMATSU Keiichi
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  Construction of Generic Polynomials in Galois Theory and application to Number Theory

    • Principal Investigator
      HASHIMOTO Kiichiro
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  Units groups generated by special values of Siegel modular functionsPrincipal Investigator

    • Principal Investigator
      KOMATSU Keiichi
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  Construction of abelian equations and study of Gaussian sums

    • Principal Investigator
      HASHIMOTO Kiichiro
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  Construction of normal bases by special values of modular functionsPrincipal Investigator

    • Principal Investigator
      KOMATSU Keiichi
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  Research on the arithmetic of algebraic curves and jacobian varieties

    • Principal Investigator
      HASHIMOTO Kiichiro
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  代数体のZ^<LP>_p-拡大の正規底のmodular unitsによる構成Principal Investigator

    • Principal Investigator
      小松 啓一
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo University of Agriculture and Technology
  •  リー群内極小部分多様体の安定性について

    • Principal Investigator
      間下 克哉
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo University of Agriculture and Technology
  •  有限群のカルタン行列とその固有値

    • Principal Investigator
      和田 倶幸
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo University of Agriculture and Technology
  •  リー群と調和写像

    • Principal Investigator
      間下 克哉
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo University of Agriculture and Technology
  •  有限群のカルタン行列の固有値

    • Principal Investigator
      和田 倶幸
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo University of Agriculture and Technology
  •  解析関数の値の超越性について

    • Principal Investigator
      若林 功
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo University of Agriculture and Technology
  •  代数体のZpー拡大とKー理論についてPrincipal Investigator

    • Principal Investigator
      小松 啓一
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo University of Agriculture and Technology
  •  代数多様体の数論的性質について

    • Principal Investigator
      前田 博信
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo University of Agriculture and Technology
  •  解析関数の特殊値に対する超越数論

    • Principal Investigator
      若林 功
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo University of Agriculture and Technology
  •  パラメータをふくむ非線形方程式の初期値問題の仮定の改良

    • Principal Investigator
      高橋 けん一
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo University of Agriculture and Technology

All 2016 2014 2012 2010 2008 2007 2006 2005 2004

All Journal Article Presentation

  • [Journal Article] On the Iwasawa λ-invariant of the cyclotomic Z_2-extension of Q(√p), III2016

    • Author(s)
      T. Fukuda, K. Komatsu, M. Ozaki, T. Tsuji
    • Journal Title

      Functiones et Approximatio Commentarii Mathematici

      Volume: vol.54 No.1 Pages: 7-17

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540030
  • [Journal Article] On the Iwasawa λ-invariant of the cyclotomic Z_2-extension of Q(√p) II2014

    • Author(s)
      Takashi Fukuda and Keiichi Komatsu
    • Journal Title

      Functiones et Approximatio Commentarii Mathematici

      Volume: 51-1 Issue: 1

    • DOI

      10.7169/facm/2014.51.1.9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540030
  • [Journal Article] Onλ-invariants of Z I-extensions over Real Abelian Number Fields of Prime Power Conductors2012

    • Author(s)
      T. Fukuda, K. Komatsu andT. Morisawa
    • Journal Title

      Funct. Approx. Comment. Math.

      Volume: 47.1 Issue: 1 Pages: 95-104

    • DOI

      10.7169/facm/2012.47.1.8

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-10J00057, KAKENHI-PROJECT-24540030
  • [Journal Article] Weber's Class Number Problem in the Cyclotomic Z_2-Extension of QII2010

    • Author(s)
      Takashi Fukuda, Keiichi Komatsu
    • Journal Title

      Journal de Theorie des Nombres de Bordeaux 22

      Pages: 359-368

    • Data Source
      KAKENHI-PROJECT-19340011
  • [Journal Article] Weber's Class Number Problem in the Cyclotomic Z_2-Extension of Q2010

    • Author(s)
      Takashi Fukuda, Keiichi Komatsu
    • Journal Title

      Experimental Math. 18-2

      Pages: 213-222

    • Data Source
      KAKENHI-PROJECT-19340011
  • [Journal Article] On the lwasawa Iambda-invariant of the cyclotomic Z_2-extension of Q (sqrt{p})2008

    • Author(s)
      Takashi Fukuda, Keiichi Komatsu
    • Journal Title

      Math.Comp. 77(印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340011
  • [Journal Article] On the Iwasawa lambda-invariant of the cyclotomic Z_2-extension of Q(\sqrt{p})2008

    • Author(s)
      Takashi Fukuda, Keiichi Komatsu
    • Journal Title

      Math. Comp. 77

    • Data Source
      KAKENHI-PROJECT-19340011
  • [Journal Article] On the group of modular units and the ideal class group2007

    • Author(s)
      T. Itoh and K. Komatsu
    • Journal Title

      J.Number Theory Vol.123

      Pages: 193-203

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] Iwasawa lamda-invariants and Mordell-Weil ranks of abelian varieties with complex multiplication2007

    • Author(s)
      T. Fukuda, K. Komatsu and. Yamagata
    • Journal Title

      Acta Arith. Vol.127

      Pages: 193-203

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] Iwasawa lamda-invariants and Mordell-Weil ranks of abelian varieties with complex multiplication,2007

    • Author(s)
      T. Fukuda, K. Komatsu and S. Yamagata,
    • Journal Title

      Acta Arithmetica 127

      Pages: 305-307

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] lwasawa lambda-invariants and Mordell-Weil rank of Jacobian varieties with complex multiplication2007

    • Author(s)
      Takashi Fukuda, Keiichi Komatsu, Shuji Yamagata
    • Journal Title

      Acta Arithmetica 127

      Pages: 305-307

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340011
  • [Journal Article] Iwasawa lambda-invariants and Mordell-Weil rank of Jacobian varieties with complex multiplication2007

    • Author(s)
      Takashi Fukuda, Keiichi Komatsu, Shuji Yamagata
    • Journal Title

      Acta Arithmetica 127

      Pages: 305-307

    • Data Source
      KAKENHI-PROJECT-19340011
  • [Journal Article] Prime divisors of special values of theta functions in the ray class field of a certain quartic field modulo n-th power of 22006

    • Author(s)
      T.Fukuda, N.Kanayama, K.Komatsu
    • Journal Title

      Mathematical Proceedings of the Cambridge Philosophical Society 141・1

      Pages: 1-13

    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] Prime divisors of special values of theta functions in the ray class field of a certain quartic field module 2m2006

    • Author(s)
      T.Fukuda, N.Kanayama, K.Komatsu
    • Journal Title

      Math, Proc, Camb.Phil.Soc. 141

      Pages: 1-13

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540046
  • [Journal Article] Prime divisors of special values of theta functions in the ray class field of a certain quartic field modulo2^m2006

    • Author(s)
      T.Fukuda, N.Kanayama, K.Komatsu
    • Journal Title

      Mathematical Proceedings of the Cambridge Philosophical Society 141・1

      Pages: 1-13

    • Data Source
      KAKENHI-PROJECT-16540046
  • [Journal Article] Prime divisors of special values of theta functions in the ray class field of a certain guartic field modulo 2^m2006

    • Author(s)
      T.Fukuda, N.Kanayama, K.Komatsu
    • Journal Title

      Math.Proc. Camb.Phil. Soc. 141・1

      Pages: 1-13

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540046
  • [Journal Article] Prime divisors of special values of theta functions in the ray class field of a certain quartic field modulo n-th power of a 22006

    • Author(s)
      T. Fukuda, N. Kanayama and K. Komatsu
    • Journal Title

      Math. Proc. Camb. Phil. Soc. 141

      Pages: 1-13

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] On Iwasawa lamda-invariant of cyclotomic Z2-extension of a real quadratic field2005

    • Author(s)
      Takashi Fukuda, Keiichi Komatsu
    • Journal Title

      Tokyo J.Math. 28-1

      Pages: 259-264

    • Data Source
      KAKENHI-PROJECT-15340015
  • [Journal Article] On the Iwasawa λ-invariant of cyclotomic II2-extension of a real qadratic field2005

    • Author(s)
      T.Fukuda K.Komatsu
    • Journal Title

      Tokyo J, Math. 28

      Pages: 259-264

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540046
  • [Journal Article] On the Iwasawa λ-invariant of cyclotomic Z_z-extension of a real quadratic field2005

    • Author(s)
      T.Fukuda, K.Komatsu
    • Journal Title

      Tokyo J.Math. 28,1

      Pages: 259-264

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540046
  • [Journal Article] On the Iwasawa lamda invariant of cyclotomic Z2-extension of a real quadratic field2005

    • Author(s)
      T.Fukuda, K.Komatsu
    • Journal Title

      Tokyo Journal of Mathematics 28巻1号

      Pages: 259-264

    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] On the Iwasawa $lambda$-invariant of the cyclotomic $Z_2$-extension of a real quadratic field2005

    • Author(s)
      T.Fukuda, K.Komatsu
    • Journal Title

      Tokyo J.Math. 28

      Pages: 259-264

    • Data Source
      KAKENHI-PROJECT-16540046
  • [Journal Article] On the Iwasawa Lamda-invariant of the cyclotomic Z2-extension2005

    • Author(s)
      T. Fukuda and K. Komatsu
    • Journal Title

      Tokyo J. Math vol.128

      Pages: 259-264

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] Z_p-extensions associated to elliptic curves with complex multiplication2004

    • Author(s)
      T.Fukuda, K.Komatsu
    • Journal Title

      Math. Proc. Camb. Phil. Soc. 137

      Pages: 541-550

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540046
  • [Journal Article] Z p-extensions associated to elliptic curves with complex multiplication2004

    • Author(s)
      Takashi Fukuda, Keiichi Komatsu
    • Journal Title

      Math.Proc.Camb.Phil.Soc. 137

      Pages: 541-550

    • Data Source
      KAKENHI-PROJECT-16540046
  • [Journal Article] ZLP-extensions associated to elliptic curves with complex multiplication2004

    • Author(s)
      T.Fukuda K.Komatsu
    • Journal Title

      Math-Proc.Camb, Phil.Soc. 137

      Pages: 541-550

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540046
  • [Journal Article] Zp-extension associated to elliptic curves with complex multiplication2004

    • Author(s)
      Takashi, Fukuda, Keiichi Komatsu
    • Journal Title

      Math.Proc.Camb.Phil.Soc. 137

    • Data Source
      KAKENHI-PROJECT-15340015
  • [Presentation] Weber's class number one problem2012

    • Author(s)
      T. Fukuda, K. Komatsu and T. Morisawa
    • Organizer
      Iwasawa2012
    • Place of Presentation
      ドイツ、Heidelberg大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540030
  • [Presentation] 導手2巾の実アーベル体の類数問題(Weberの問題)2008

    • Author(s)
      Takashi Fukuda, Keiichi Komatsu
    • Organizer
      早稲田大学整数論研究集会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2008-03-12
    • Data Source
      KAKENHI-PROJECT-19340011
  • [Presentation] Weber の類数問題について2008

    • Author(s)
      小松啓一、福田隆
    • Organizer
      日本数学会
    • Place of Presentation
      日東京工業大学
    • Year and Date
      2008-09-26
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Presentation] ウェーバーの類数問題に対する計算的アプローチ2007

    • Author(s)
      Takashi Fukuda, Keiichi Komatsu
    • Organizer
      研究集会「代数学と計算」
    • Place of Presentation
      首都大学東京
    • Year and Date
      2007-12-07
    • Data Source
      KAKENHI-PROJECT-19340011
  • 1.  和田 倶幸 (30134795)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 2.  横手 一郎 (60021888)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 3.  間下 克哉 (50157187)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 4.  HASHIMOTO Kiichiro (90143370)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 5.  前田 博信 (50173711)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 6.  田代 俶章 (00014928)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 7.  若林 功 (50087003)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 8.  TSUNOGAI Hiroshi (20267412)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  UMEGAKI Atsuki (60329109)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  MURAKAMI Jun (90157751)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  MIYAKE Katsuya (20023632)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  KIDA Masanari (20272057)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  ADACHI Norio (60063731)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  IBUKIYAMA Tomoyoshi (60011722)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  SAITO Kyoji (20012445)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  BANNAI Eiichi (10011652)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  WATANEBE Takao (30201198)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  NAGATOMO Kiyokazu (90172543)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  ODA Takayuki (10109415)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  NAGAOKA Shoyu (20164402)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  SUGANO Takashi (30183841)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  IKEDA Tamotsu (20211716)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  FURUSAWA Masaaki (50294525)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  KATSURADA Hidenori (80133792)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  HASEGAWA Yuji (30287982)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  KAGAWA Takaaki (90298175)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  OZAKI Manabu (80287961)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  FUKUDA Takashi (00181272)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 2 results
  • 29.  高橋 けん一 (10014987)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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