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Ogawa Hiroyuki  小川 裕之

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OGAWA Hiroyuki  小川 裕之

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Researcher Number 70243160
Other IDs
Affiliation (Current) 2025: 大阪大学, 大学院理学研究科, 助教
Affiliation (based on the past Project Information) *help 1998 – 2003: 大阪大学, 大学院・理学研究科, 助手
1992 – 1995: 大阪大学, 理学部, 助手
Review Section/Research Field
Principal Investigator
Algebra
Except Principal Investigator
Algebra / General mathematics (including Probability theory/Statistical mathematics) / 計算機科学 / 代数学・幾何学
Keywords
Principal Investigator
整数論 / アベール多様体
Except Principal Investigator
楕円曲線 / 代数曲線 / ヤコビ多様体 / graded Betti number / lexsegment ideal / generic initial ideal / componentwise linear / 有理点群 … More / グレブナ-基底 / 単体的複体 / 凸多面体 / 有限自由分解 / 多項式環 / ガロワ群 / 超楕円曲線 / アーベル多様体 / Jacobian group / Information Security / Discrete Logarithm / Non Singular Curve / 整数論 / Index Calculus / 情報セキュリティ / ヤコビアン群 / 位数計算 / 離散対数問題 / 非特異代数曲線 / Adels geometry / Tamagawa number / Flag variety / Reduction theory / Algebraic groud / Hermite constant / 代数多様体の有理点 / 旗多様体 / 節約理論 / アデール幾何 / 玉河数 / 旗多様性 / 簡約理論 / 代数群 / エルミート定数 / Kruskal-Katona thearem / polynomial ring / squaretree inonomial / Cohen-Macaulay ring / Gorenstein環 / Hilbert函数 / 三角形分割 / 外積代数 / 双対複体 / 次数付ベッチ数列 / Cohen-Macaulay / Stanley-Reisner ideal / h-三角形 / Componentwise linear / Kruskal-katona定理 / squarefree monomial / Cohen-Macaulay環 / Galois group / Division points / Elliptic curve / Abelian variety / Jacobian variety / Algebraic curve / ガロワ拡大 / 等分方程式 / 等分点 / LZ符号 / コルモゴロフ複雑さ / ハウスドルフ次元 / データ圧縮 / ユニバーサル圧縮 / Haussdorff次元 / 標準的べき級数 / 保型関数体 / ヤコビ多様の整数論 / ゼータ関数 / 数式処理 / Kruskal-Katona定理 / Cohen-Macaulay型 / 単項式イデアル / 連分数展開 / 等分点の体 Less
  • Research Projects

    (9 results)
  • Co-Researchers

    (28 People)
  •  Discrete Logarithm Problem Nd Information Security

    • Principal Investigator
      SUZUKI Joe
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  Hausdorff次元を用いたユニバーサルデータ圧縮の評価

    • Principal Investigator
      鈴木 譲
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      計算機科学
    • Research Institution
      Osaka University
  •  Geometry of Numbers on Homogeneous Spaces and Generalized Hermite Constants

    • Principal Investigator
      WATANABE Takao
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  数式処理による代数曲線のヤコビ多様体の整数論

    • Principal Investigator
      山本 芳彦
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Foundation of computational Commutative algebra with a view toward combinatorics on convex polytopes

    • Principal Investigator
      HIBI Takayuki
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  単項式イデアルの極小自由分解の研究

    • Principal Investigator
      HIBI Takayuki
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Arithmetics on Jacobian Varieties

    • Principal Investigator
      YAMAMOTO Yoshihiko
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  アーベル多様体の整数論Principal Investigator

    • Principal Investigator
      小川 裕之
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  アーベル多様体の整数論

    • Principal Investigator
      YAMAMOTO Yoshihiko
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  • 1.  YAMAMOTO Yoshihiko (90028184)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 2.  SUZUKI Joe (50216397)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 3.  MIYANISHI Masayoshi (80025311)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 4.  HIBI Takayuki (80181113)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  MURAKAMI Jun (90157751)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  MATSUMURA Akitaka (60115938)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  小礎 深幸 (10178189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  坂根 由昌 (00089872)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  川久保 勝夫 (50028198)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  和久井 道久 (60252574)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  佐竹 郁夫 (80243161)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  KIYOKAZU Nagatomo (90172543)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  HIRAMINE Yutaka (30116173)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  川中子 正 (20214661)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  横川 光司 (40240189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  田辺 広城 (70028083)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  YANAGAWA Koji (40283006)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  NAMIKAWA Yoshinori (80228080)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  SUZUKI Takashi (40114516)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  KAWANAKA Noriaki (10028219)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  磯崎 洋 (90111913)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  WATANABE Takao (30201198)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  YAMAZAKI Yohei (00093477)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  NAMBA Makoto (60004462)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  FUJIWARA Akio (30251359)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  IBUKIYAMA Tomoyoshi (60011722)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  HARASAWA Ryuichi (10363467)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  FUJIWARA Tohru (70190098)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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