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hayakawa takayuki  早川 貴之

… Alternative Names

HAYAKAWA Takayuki  早川 貴之

早川 貴之

Less
Researcher Number 20198823
Other IDs
  • ORCIDhttps://orcid.org/0000-0001-7339-2509
External Links
Affiliation (Current) 2025: 金沢大学, 数物科学系, 講師
Affiliation (based on the past Project Information) *help 2012: 金沢大学, 数物科学系, 講師
2008 – 2009: Kanazawa University, 数物科学系, 講師
2005 – 2007: Kanazawa University, Natur.Sci.and Tech., Lecturer, 自然科学研究科, 講師
2005: Kanazawa University, Graduate School of Natural Sciences and technology, Lecturer, 大学院・自然科学研究科, 講師
2004: 金沢大学, 自然科学研究科, 助手 … More
2003 – 2004: KANAZAWA University, Graduate School of Natural Science and Technology, Assistant, 大学院・自然科学研究科, 助手
1997 – 2003: 金沢大学, 理学部, 助手
2001 – 2002: Kanazawa University, Graduate school of natural science and technology, Assistant, 自然科学研究科, 助手
1990 – 1995: 金沢大学, 理学部, 助手
1988: 金沢大学, 理学部, 教務職員 Less
Review Section/Research Field
Principal Investigator
Algebra
Except Principal Investigator
Algebra / Algebra / 代数学・幾何学 / 解析学
Keywords
Principal Investigator
因子収縮 / 端末特異点 / resolution of singularity / divisorial contraction / terminal singularity / 特異点解消
Except Principal Investigator
3-manifold / number field / 3次元多様体 / 代数体 … More / 結び目 / 素数 / theta function / Weil representation / Shintani function / automorphic form / テータ関数 / Weil表現 / 新谷関数 / 保型形式 / 正則自己同型群 / 特異点解消 / 端末特異点 / F-threshold / filtered blowing-up / resolution of singularities / 3次元端末特異点 / フィルター付きブロウイングアップ / knot / prime / 絡み目群 / 保型L関数 / 有理特異点 / 基本群 / 極小モデル / 幾何種数 / ガウス写像 / universal abelican covering / 2-dimensional singularity / 3-dimensional terminal singularity / geometric genus / elliptic singularity / discrepancy / 3次元端末的特異点 / implicit differential systems / multiplierイデアル / 整閉イデアルの対数的特異点解消 / 2次元楕円型特異点 / 完全交叉性 / ベロネーゼ部分環 / 2次元特異点 / 普遍アーベル被覆 / 次元特異点 / 楕円型特異点 / associated graded rings / order function of local rings / algebraic stacks / Gluck surgery / 3-dimensional terminal singularities / plurigenus / Dehn手術 / 4次元多様体 / 双正則同形問題 / フリップの存存定理 / フィルター付ブロウイングアップ / 付随次数付き環 / 局所環の位数関数 / 代数的スタック / Gluck手術 / 多重種数 / automorphic L-function / link group / Galois group / Galois群 / divisor class group / Milnor number / terminal singulauty / value distrilution theony / rational singulerity / isoloted singularity / multiplicity / blowing up / 有理2重点 / 特異点除去 / 巡回被覆 / ブローイングアップ / セグレ積 / 因子類群 / ミルナー数 / 値分布理論 / 孤立特異点 / 重複度 / ブローイング・アップ / Knot / Prime / レダイ記号 / ミルナー不変量 / ガロア群 / ガロアコホモロジー / 代数群 / automorphic L function / データ関数 / L function / 保型表現 / テ-タ関数 / L関数 / the special log forms / the arithemetic genus / terminal singularities / the Segre product / conjecture of M.Reid / weighted blowing-ups / rational singularities / the normal graded rings / アデ-ル幾何学 / 多様体のホモトピー同値 / 正則曲線の一意性定理 / 因子的ブロ-イングアップ / 単純K3特異点 / ネバンリンナ理論 / 対数的微分形式 / 特異点の算術種数 / Segre積 / Reid予想の反例 / 重みつきブローイングアップ / 正規次数付環 / Teichmueller space / vector bundle / Calabi-Yau variety / Hodge theory / Shafarevich map / Fano variety / flip / Minimal model / 射影空間 / フェルリンデ公式 / 極小モデル理論 / タイヒミューラー空間 / ベクトル束 / カラビ・ヤオ多様体 / ホッジ理論 / シャファレビッチ写像 / ファノ多様体 / フリップ / 極小曲面 / 有界領域 / 非線形電磁波理論 / 加藤の不等式 / 極小一般型代数多様体 / アルゴリズム / 特異ファイバー / Qファノ多様体 / デュバル特異点 / Qデルペゾ束 / 端収縮射 / Du Val特異点 / 一般象予想 / Qコニック束 / 極小モデルプログラム / Du Val 特異点 / 反標準線形系 / フリップ収縮射 / 因子収縮射 / Q コニック束 / 双曲型多様体 / ホモトピー分類 / 値分布論 / 玉河数 / ブロ-イングアップ / 末端的特異点 / 2次元正規特異点 / 代数群の整数論 / 終着特異点 / 球バンドル / 小林双曲型 / 極小画面 / Gorenstein環 / 標準因子 / 特異点の幾何種数 / 2次形式 / 中心拡大 / 岩沢理論 / Heegner point / 有理点 / 楕円曲線 Less
  • Research Projects

    (19 results)
  • Research Products

    (22 results)
  • Co-Researchers

    (61 People)
  •  Various problems related to the classification in higher dimensional birational geometry

    • Principal Investigator
      MORI Shigefumi
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Studies on birational morphisms of 3-dimensional Algebraic varietiesPrincipal Investigator

    • Principal Investigator
      HAYAKAWA Takayuki
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Explicit studies on singularities which appear on 3-dimensional algebraic varietiesPrincipal Investigator

    • Principal Investigator
      HAYAKAWA Takayuki
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Filtered blowing-up of local rings and algebraic geometric classification of singularities

    • Principal Investigator
      TOMARI Masataka
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nihon University
  •  Study of analogies between algebraic number theory and 3-dimensional topology.

    • Principal Investigator
      MORISHITA Masanori
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Study on automorphic forms, automorphic L-functions and Shintani functions.

    • Principal Investigator
      SUGANO Takashi
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Filtered blowing-up of singularities and algebraic geometric properties of tangent cone

    • Principal Investigator
      TOMARI Masataka
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nihon University
      Kanazawa University
  •  Analogies between primes and knots, number theory and 3-dim. Topology

    • Principal Investigator
      MORISHITA M
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Classification of higher dimensional hypersurface singularities in terms of non-degenerate complete intersections

    • Principal Investigator
      TOMARI Masataka
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Study on automorphic forms, automorphic L functions and Shintani functions.

    • Principal Investigator
      SUGANO Takashi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Arithmetic of algebraic groups and their homogeneous spaces

    • Principal Investigator
      MORISHITA Masanon
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      kanazawa University
  •  Algebro-geometric studies of rational singularities and related singularities by blowing-ups

    • Principal Investigator
      TOMARI Masataka
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Automorphic forms and L functions on algebraic groups

    • Principal Investigator
      SUGANO Takashi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  2次元及び3次元解析空間の特異点の可換環論

    • Principal Investigator
      泊 昌孝
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  複素解析空間の特異点の代数幾何

    • Principal Investigator
      泊 昌孝
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Higher Dimensional Algebraic Varieties

    • Principal Investigator
      MORI Shigefumi
    • Project Period (FY)
      1992 – 1993
    • Research Category
      Grant-in-Aid for international Scientific Research
    • Research Institution
      Kyoto University
  •  中心拡大の整数論とその関連分野の研究

    • Principal Investigator
      古田 孝臣
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kanazawa University
  •  楕円曲線の数理

    • Principal Investigator
      木田 祐司
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kanazawa University
  •  解析的多様体の間の正則写像の研究

    • Principal Investigator
      藤本 坦孝
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kanazawa University

All 2007 2005 2003

All Journal Article Presentation

  • [Journal Article] ce型の特異点につぶれるdivisorial contractionについて2007

    • Author(s)
      早川貴之
    • Journal Title

      射影多様体の幾何とその周辺2007報告集

      Pages: 33-40

    • Data Source
      KAKENHI-PROJECT-19540017
  • [Journal Article] A remark on partial resolutions of 3-dimensional terminal singularities2005

    • Author(s)
      Takayuki Hayakawa
    • Journal Title

      Nagoya Math. J. 178

      Pages: 117-127

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540019
  • [Journal Article] Divisorial contractions to 3-dimensional terminal singularities with discrepancy one2005

    • Author(s)
      Takayuki Hayakawa
    • Journal Title

      Journal of the Mathematical Society of Japan 57

      Pages: 651-668

    • NAID

      130000829426

    • Data Source
      KAKENHI-PROJECT-17540019
  • [Journal Article] Gorenstein resolutions of 3-dimensional terminal singularities2005

    • Author(s)
      T.Hayakawa
    • Journal Title

      Nagoya Math.J. vol.178

      Pages: 63-115

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540043
  • [Journal Article] Divisorial contractions to 3-dimensional terminal singularities with discrepancy one2005

    • Author(s)
      Takayuki HAYAKAWA
    • Journal Title

      J.Math.Soc.Japan 57

      Pages: 653-668

    • NAID

      130000829426

    • Data Source
      KAKENHI-PROJECT-16540043
  • [Journal Article] Gorenstein resolutions of 3-dimensional terminal singularities2005

    • Author(s)
      Tkayuki HAYAKAWA
    • Journal Title

      Nagoya Math.J. 178

      Pages: 63-115

    • Data Source
      KAKENHI-PROJECT-16540043
  • [Journal Article] Gorenstein resolutions of 3-dimensional terminal singularities2005

    • Author(s)
      Takayuki Hayakawa
    • Journal Title

      Nagoya Mathematical Journal 178

      Pages: 63-115

    • Data Source
      KAKENHI-PROJECT-17540019
  • [Journal Article] Divisorial contractions to 3-dimensional terminal singularities with discrepancy one2005

    • Author(s)
      Takayuki Hayakawa
    • Journal Title

      J. Math. Soc. Japan 57

      Pages: 651-668

    • NAID

      130000829426

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540019
  • [Journal Article] Gorenstein resolutions of 3-dimensional terminal singularities2005

    • Author(s)
      T.Hayakawa
    • Journal Title

      Nagoya Math.J. 178

      Pages: 63-115

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340006
  • [Journal Article] Gorenstein resolutions of 3-dimensional terminal singularities2005

    • Author(s)
      T.Hayakawa
    • Journal Title

      Nagoya Math. J. 178

      Pages: 63-115

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540019
  • [Journal Article] A remark on partial resolutions of 3-dimensional terminal Singularities2005

    • Author(s)
      Takayuki Hayakawa
    • Journal Title

      Nagoya Mathematical Journal 178

      Pages: 117-127

    • Data Source
      KAKENHI-PROJECT-17540019
  • [Journal Article] A remark on partial resolutions of 3-dimensional terminal singularities2005

    • Author(s)
      T.Hayakawa
    • Journal Title

      Nagoya Math. J. 178

      Pages: 117-127

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540019
  • [Journal Article] Gorenstein resolutions of 3-dimensional terminal singularities2005

    • Author(s)
      Takayuki Hayakawa
    • Journal Title

      Nagoya Math. J. 178

      Pages: 63-115

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540019
  • [Journal Article] Gorenstein resolutions of 3-dimensional terminal singularities2005

    • Author(s)
      Takayuki HAYAKAWA
    • Journal Title

      Nagoya Math. J. 178

      Pages: 63-115

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540043
  • [Journal Article] A remark on partial resolutions of 3-dimensional terminal singularities2005

    • Author(s)
      T.Hayakawa
    • Journal Title

      Nagoya Math.J. 178

      Pages: 117-127

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340006
  • [Journal Article] Divisorial contractions to 3-dimensional terminal singularities with discrepancy one2005

    • Author(s)
      T.Hayakawa
    • Journal Title

      J.Math.Soc.Japan 57

      Pages: 651-668

    • NAID

      130000829426

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340006
  • [Journal Article] Divisorial contractions to 3-dimensional terminal singularities with discrepancy one2005

    • Author(s)
      T.Hayakawa
    • Journal Title

      J. Math. Soc. Japan 57

      Pages: 651-668

    • NAID

      130000829426

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540019
  • [Journal Article] Gorenstein resolutions of 3-dimensional tereminal singularities2005

    • Author(s)
      T.Hayakawa
    • Journal Title

      Nagoya Math.J. 178(未定)

    • Data Source
      KAKENHI-PROJECT-16540043
  • [Journal Article] A remark on partial resolutions of 3-dimensional terminal singularites2005

    • Author(s)
      T.Hayakawa
    • Journal Title

      Nagoya Math.J. 178

      Pages: 117-127

    • Data Source
      KAKENHI-PROJECT-14340006
  • [Journal Article] Flips in dimension three via crepant descent method2003

    • Author(s)
      T.Hayakawa
    • Journal Title

      Proc.Japan Acad.Ser.A Math.Sci. 79

      Pages: 46-51

    • NAID

      120000807068

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340006
  • [Presentation] cE 型の特異点につぶれる'divisorial contractionについて2007

    • Author(s)
      早川 貴之
    • Organizer
      射影多様体の幾何とその周辺2007
    • Place of Presentation
      高知県高知市
    • Year and Date
      2007-11-24
    • Data Source
      KAKENHI-PROJECT-19540017
  • [Presentation] CE型の特異点につぶれるdivisorial contractionについて2007

    • Author(s)
      早川貴之
    • Organizer
      射影多様体の幾何とその周辺2007
    • Place of Presentation
      高知グリーン会館(高知県)
    • Year and Date
      2007-11-24
    • Data Source
      KAKENHI-PROJECT-19540017
  • 1.  MORISHITA Masanori (40242515)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 2.  TOMARI Masataka (60183878)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 3.  SUGANO Takashi (30183841)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 4.  IWASE Zjun'ici (70183746)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 5.  FUJIMOTO Hitotaka (60023595)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 6.  ISHIMOTO Hiroyasu (90019472)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 7.  KODAMA Akio (20111320)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 8.  ITO Tatsuro (90015909)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  YAMADA Mieko (70130226)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  WATANABE Kei-ichi (10087083)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  木田 祐司 (30113939)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  MORI Shigefumi (00093328)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  MUKAI Shigeru (80115641)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  NAKAYAMA Noboru (10189079)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  FUJIOKA Atsushi (30293335)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  MURASE Atsushi (40157772)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  IWASE J (50293337)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  FUKUDA Takuo (00009599)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  MATSUURA Yutaka (50096905)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  古田 孝臣 (50019452)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  一瀬 孝 (20024044)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  KAWAKITA Masayuki (10378961)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  KAWANOUE Hiraku (50467445)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  NAMIKAWA Yoshinori (80228080)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  FUJINO Osamu (60324711)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  TAKAGI Hiromichi (30322150)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  SUMIHIRO Hideyasu (60068129)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  YOKOGAWA Koji (40240189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  TSUNODA Shuichiro (60144424)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  MORIWAKI Atsushi (70191062)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  SUGIE Toru (90135509)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  MARUYAMA Masaki (50025459)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  SAITO Masahiko (80183044)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  USUI Sampei (90117002)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  KONNO Kazuhiro (10186869)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  UENO Kenji (40011655)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  SAITO Morihiko (10186968)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  SAITO Kyoji (20012445)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  KOBAYASHI Masanori (60234845)
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  • 40.  FUJITA Takao (40092324)
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  • 41.  TSUJI Hajime (30172000)
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  • 42.  MIYAOKA Yoichi (50101077)
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  • 43.  OGUISO Keiji (40224133)
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  • 44.  KAWAMATA Yujiro (90126037)
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  • 45.  ISHIDA Masanori (30124548)
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  • 46.  WATANABE Takao (30201198)
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  • 47.  YAMAGISHI M (40270996)
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  • 48.  KURIHARA Masato (40211221)
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  • 49.  TAGUCHI Yuichiro (90231399)
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  • 50.  KOHNO Toshitake (80144111)
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  • 51.  USHIJIMA Akira (50323803)
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  • 52.  OKUMA Tomohiro (00300533)
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  • 53.  杉山 健一 (90206441)
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  • 54.  加須栄 篤 (40152657)
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  • 55.  野村 明人 (00313700)
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  • 56.  MATSUKI Kenji
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  • 57.  CLEMENS Herb
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  • 58.  KOLLAR Janos
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  • 59.  PROKHOROV Yuri
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  • 60.  HERB Clemens
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  • 61.  JANOS Kollar
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