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TANAKA Tatsuji  田中 達治

ORCIDConnect your ORCID iD *help
… Alternative Names

田中 達治  タナカ タツジ

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Researcher Number 80039370
Other IDs
External Links
Affiliation (based on the past Project Information) *help 1996 – 2005: 佐賀大学, 理工学部, 教授
1993 – 1995: 佐賀大学, 教養部, 教授
1989: 佐賀大学, 教養学部, 助教授
1988: 佐賀大, 教養, 助教授
Review Section/Research Field
Principal Investigator
Algebra
Except Principal Investigator
Algebra / Algebra / General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学 / Geometry
Keywords
Principal Investigator
プリュッカー座標 / d重埋め込み / 生成射影 / チャウ形式
Except Principal Investigator
タイヒミュラー基本亜群 / 代数曲線 / モジュライ空間 / リーマン面 / モノドロミー表現 / 代数幾何符号 … More / ガロア表現 / 極小自由分解 / 超幾何方程式 / ネロン・テイト高さ関数 / アーベル多様体 / ボゴモロフ予想 / 共形場理論 / Monodromy representation / Teichmueller groupoid / Moduli space / Algebraic curve / 一意化 / ガロア作用 / 整数環の巾底 / 保型形式 / ソリトン方程式 / テ-タ関数 / p進解析 / 最小距離 / ベルヌイ数 / 類数公式 / Castelnuovo-Mumford regularity / multiplicity / linear resolution / minimal free resolution / Cohen-Macaulay ring / Buchsbaum ring / Stanley-Reisner ring / Cohen-Macaulay / Buchsbaum / 正則度 / Stanley-Reisner環 / Castelnuovo-Mumford正則度 / 重複度 / 線形自由分解 / Cohen-Macaulay環 / Buchsbaum環 / Stnaley-Reisner環 / HYPERGEOMETRIC EQUATION / NERON-TATE'S HEIGHT / ABELIAN VARIETY / MONODROMY REPRESENTATION / CONFORMAL FIELD THEORY / GALOIS REPRESENTATION / MODULI SPACE / ALGEBRAIC CURVE / 超幾何微分方程式 / 代数曲線とリーマン面 / Minimal Free Resolution / Chow Varieties / Monodromy Representation / Teichmueller Groupoids / Fundamental Units / Minimum Distance of Codes / Algebraic Geometry Codes / Algebraic Function Fields / Stanley-Reisner ideal / Hasseの単数指数 / 1次自由分解 / グラースマン多様体 / チャウ多様体 / 整数還の基本単数 / 符号の最小距離 / 代数関数体 / Riemann surfaces / hypergeometric equations / Neron-Tate height functions / Abelian varieties / Bogomolov conjecture / Teichmueller groupoids / Conformal field theory / アラケロフ幾何 / 超幾何学方程式 / minimum distance / algebraic-geometric code / explicit reciprocity law / Teichmuller groupoid / unramified cyclic extension / power basis / class number / fundamental unit / タイムヒーラー基本亜群 / 相互法則 / チャウ形式 / タイヒムーラー基本亜群 / ガロアの逆問題 / 一般相互法則 / 不分岐巡回拡大 / 巾底 / 類数 / 基本単数 / Mapping class group / Galois representation / Uniformization / Riemann surface / チャーン・サイモンズ積分 / 写像類群 / Galois action / Automophic form / Soliton equation / Theta function / Period integral / ショットキー群 / フュージング・ムーヴ / テータ関数 / 周期積分 / 代数曲線の一般射影及びchow形式 / 円単数とヤコビの和 / Hasse-Witt行列 / 一変数代数関数体 / 類群の構造探査へのグラフ理論の援用 / イデアル類群の階数評価 / 二次体 / 量子空間 / chow形式 / 局所体 / 単数 / 類数の可除性 / 2次体 / 合同関係式 / 2進L関数 / 線形符号の復号法 / エルミート符号 / 単項式列 / Feng-Raoの設定最小距離 / タイヒミュラー空間 / 無限マルコフ系 / γ(ガンマー)-開集合 / オペレーション / プレ閉集合 / sg-同相写像 / sg-閉集合 / 楕円符号 / 指標和 / 実2次体 / 円分体 Less
  • Research Projects

    (13 results)
  • Research Products

    (2 results)
  • Co-Researchers

    (22 People)
  •  Study on minimal free resolution of Stanley-Reisner rings

    • Principal Investigator
      TERAI Naoki
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saga University
  •  VERTEX OPERATOR ALGEBRAS AND MODULI SPACES OF ALGEBRAIC CURVES

    • Principal Investigator
      ICHIKAWA Takashi
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      SAGA UNIVERSITY
  •  Minimum distance of error-correcting codes constructed by algebraic function fields

    • Principal Investigator
      UEHARA Tsuyoshi
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Saga University
  •  Teichmueller groupoids and monodromy in conformal field theory

    • Principal Investigator
      ICHIKAWA Takashi
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saga University
  •  Motivic aspect of moduli space of algebraic curves

    • Principal Investigator
      ICHIKAWA Takashi
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saga University
  •  Number Theory and Its Apprication to Discrete Mathematics

    • Principal Investigator
      NAKAHARA Toru
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saga University
  •  Moduli space of algebraic curves and automorphic forms

    • Principal Investigator
      ICHIKAWA Takashi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saga University
  •  代数曲線から生成される誤り訂正符号の研究

    • Principal Investigator
      上原 健
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saga University
  •  無限種数解析曲線とソリトン方程式

    • Principal Investigator
      市川 尚志
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saga University
  •  整数論とその周辺への応用

    • Principal Investigator
      上原 健
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saga University
  •  位相空間論と関連領域の研究

    • Principal Investigator
      牧 春夫
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saga University
  •  代数多様体のモヂュライ理論の研究Principal Investigator

    • Principal Investigator
      田中 達治
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saga University
  •  整数論

    • Principal Investigator
      中原 徹
    • Project Period (FY)
      1988 – 1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Saga University

All 2004

All Journal Article

  • [Journal Article] On arithmetical bounds of Chow-forms2004

    • Author(s)
      Tatsuji Tanaka
    • Journal Title

      Tsukuba J.Math. 28

      Pages: 363-376

    • NAID

      120001870350

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540036
  • [Journal Article] On Arithmetical Bounds of Chow-forms2004

    • Author(s)
      田中 達治
    • Journal Title

      Tsukuba Journal of Mathematics 28・2

      Pages: 363-376

    • NAID

      120001870350

    • Data Source
      KAKENHI-PROJECT-16540028
  • 1.  NAKAHARA Toru (50039278)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 2.  ICHIKAWA Takashi (20201923)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 3.  UEHARA Tsuyoshi (80093970)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 4.  TEARAI Naoki (90259862)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 5.  MITOMA Itaru (40112289)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  HIROSE Susumu (10264144)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  西 晃央 (60022274)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  北原 和明 (40195277)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  河合 茂生 (30186043)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  MIYAKE Katsuya (20023632)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  KATAYAMA Shin-ichi (70194777)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  KATO Kazuya (90111450)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  YOSHIDA Ken-ichi (80240802)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  YANAGAWA Kohji (40283006)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  神崎 正則 (70039262)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  牧 春夫 (60031788)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  瀧川 真也 (00211350)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  小倉 幸雄 (00037847)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  町頭 義朗 (00253584)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  上野 一男 (10193822)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  北村 三郎 (90039264)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  埴野 順一
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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