Updated on 2023/12/20

写真b

 
AOKI Noboru
 
*Items subject to periodic update by Rikkyo University (The rest are reprinted from information registered on researchmap.)
Affiliation*
Professor Emeritus
Title*
Professor Emeritus
Degree
修士(理学) ( 東京大学 ) / 理学博士 ( 東京大学 )
Contact information
Mail Address
Research Interests
  • L-関数

  • 代数幾何

  • 楕円曲線

  • 整数論

  • Algebraic Geometry

  • Campus Career*
    • 4 2023 - Present 
      Professor Emeritus
     

    Research Areas

    • Natural Science / Algebra

    Research History

    • 4 2003 - Present 
      RIKKYO UNIVERSITY   Graduate School of Science Field of Study: Mathematics   Professor

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    • 4 2003 - Present 
      RIKKYO UNIVERSITY   Graduate School of Science Field of Study: Mathematics   Professor

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    • 4 2003 - Present 
      RIKKYO UNIVERSITY   College of Science Department of Mathematics   Professor

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    • 4 1995 - 3 2003 
      RIKKYO UNIVERSITY   College of Science Department of Mathematics   Associate Professor (as old post name)

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    • 4 1991 - 3 1995 
      RIKKYO UNIVERSITY   College of Science Department of Mathematics   Lecturer

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    • 4 1985 - 3 1991 
      RIKKYO UNIVERSITY   College of Science Department of Mathematics   Full-time Research Assistant

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    Education

    • - 3 1985 
      The University of Tokyo   Graduate School, Division of Natural Science

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      Country: Japan

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    • - 3 1982 
      The University of Tokyo   Graduate School, Division of Natural Science

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      Country: Japan

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    • - 3 1980 
      The University of Tokyo   Faculty of Science

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      Country: Japan

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    Papers

    • Torsion points on CM abelian varieties

      青木 昇

      立教大学数学研究室 Comment. Math. Univ. Sancti Pauli ( 55 ) 207 - 229   1 1 2006

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      Language:English   Publishing type:Research paper (other academic)  

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    • The Hodge conjecture for the jacobian varieties of generalized Catalan curves

      青木 昇

      Tokyo J. Math. ( 27 ) 313 - 335   1 1 2004

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      Language:English   Publishing type:Research paper (other academic)  

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    • A finiteness theorem on pure Gauss sums

      青木 昇

      立教大学数学研究室 Comm. Math. Univ. St. Pauli ( 53 ) 145 - 168   1 1 2004

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    • On the Tate-Shafarevich groups of semistable elliptic curves with a rational 3-torsion

      青木 昇

      Acta Aeuthmetica ( 112 ) 209 - 227   1 1 2004

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    • On the generalized Gross-Tate conjecture for elementary abelian $2$-extensions

      青木 昇

      立教大学数学研究室 Comm. Math. Univ. St. Pauli ( 52 ) 197 - 206   1 1 2003

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    • Hodge cycles on CM abelian varieties of Fermat type

      青木 昇

      立教大学数学研究室 Comm. Math. Univ. St. Pauli ( 51 ) 99 - 129   1 1 2002

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    • Some remarks on the Hodge conjecture for abelian varieties of Fermat type

      青木 昇

      立教大学数学研究室 Comm. Math. Univ. St. Pauli ( 49 ) 177 - 194   1 1 2000

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    • Abelian Fields Generated by a Jacobi Sum

      青木 昇

      立教大学数学研究室 Comm. Math. Univ. St. Pauli45 ( 1 ) 1 - 21   6 1996

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      Language:English   Publishing type:Research paper (other academic)   Publisher:Rikkyo University  

      DOI: 10.14992/00009898

      CiNii Article

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    • Torsion points on abelian varieties with complex multiplication

      青木 昇

      硲文夫編 Algebraic cycles and related topics   1 - 22   1 1 1995

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    • Selmer groups and ideal groups

      青木 昇

      立教大学数学研究室 Comm.Math.Univ.St.Pauli ( 42 ) 231 - 245   1 1 1993

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    • Simple factors of the jacobian of a Fermat curve and the Picard number of a product of Fermat curves

      青木 昇

      Amer.J.Math. ( 113 ) 779 - 833   1 1 1991

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    • Gross' conjecture on the special values of abelian L-functions at s=0

      青木 昇

      立教大学数学研究室 Comm. Math.Univ.St.Pauli ( 40 ) 101 - 124   1 1 1991

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    • On the Stickelberger ideal of the composite field of some quadratic fields

      青木 昇

      立教大学数学研究室 Comm.Math.Univ.St.Pauli ( 39 ) 195 - 209   10 10 1990

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    • Some new algebraic cycles on Fermat varieties

      青木 昇

      J.Math.Soc.Japan ( 39 ) 385 - 396   1 1 1987

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    • A note on complete intersections of Fermat type

      青木 昇

      立教大学数学研究室 Comm. Math. Univ. St. Pauli ( 35 ) 231 - 245   1 1 1986

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    • Generators of the Neron-Severi group of a Fermat surface

      青木 昇

      Prog. Math. ( 35 ) 1 - 12   1 1 1983

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    • On some arithmetic problems related to the Hodge cycles on the Fermat varieties

      青木 昇

      Math. Ann. ( 266 ) 23 - 54   1 1 1983

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    Books and Other Publications

    • Torsion points on abelian varieties with Complex multiplication

      ( Role: Other)

      Algebraic cycles and related topics (World Scientific)  4 1995 

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      Language:English Book type:Other

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    Works

    • 数論的代数幾何の研究 Other

      2 1989
      -
      7 1990

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      Work type:Other  

      ドイツ国 Max Planck研究所 研究員 数論的代数幾何の研究

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    Research Projects

    • アーベル多様体上の算術的問題の研究

      日本学術振興会  科学研究費助成事業 

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      4 2006 - 3 2010

      Grant type:Competitive

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    • 2次形式および保型形式と関連する種々のゼータ関数の相互関係の研究

      日本学術振興会  科学研究費助成事業 

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      4 2003 - 3 2006

      Grant type:Competitive

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    • 代数曲線の有理点とその整数論への応用

      日本学術振興会  科学研究費助成事業 

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      4 1997 - 3 1999

      Grant type:Competitive

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    • 代数曲線の有理点とその整数論への応用

      日本学術振興会  科学研究費助成事業 

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      4 1997 - 3 1999

      Grant type:Competitive

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    • アーベル多様体の算術的理論の研究

      科学研究費助成事業 

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      4 1995 - 3 1996

      Grant type:Competitive

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    • アーベル多様体の算術的理論の研究

      科学研究費助成事業 

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      4 1995 - 3 1996

      Grant type:Competitive

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    • 楕円曲線の算術的理論の研究

      日本学術振興会  科学研究費助成事業 

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      4 1994 - 3 1995

      Grant type:Competitive

      楕円曲線の算術的理論の研究

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    • L-関数の特殊値の研究

      日本学術振興会  科学研究費助成事業 

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      4 1993 - 3 1994

      Grant type:Competitive

      L-関数の特殊値の研究

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    • 数論的代数幾何の研究

      日本学術振興会  科学研究費助成事業 

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      4 1992 - 3 1993

      Grant type:Competitive

      数論的代数幾何の研究

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    • Rational points on algebraic curves and its application

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      Grant type:Competitive

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    • Study of arithmetic theory of abelian varieties

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      Grant type:Competitive

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