明治大学
先端数理科学インスティチュート
理工学研究科
理工学研究科基礎理工学専攻
大学院教育改革支援プログラム
JSPS大学院教育改革支援プログラム
大学院教育支援SNS

メイン研究室紹介中村ゼミ業績等

業績等:中村准教授

論文

  1. Y. Nakamura,
    Local rings of Cohen-Macaulay F-rational rings are F-rational,
    Tokyo J. Math., 14 (1991), 41-44.
  2. Y. Nakamura,
    On the Cohen-Macaulay property of A[pt,p(2)t2] for space monomial curves,
    Nagoya Math. J., 129 (1993), 179-193.
  3. Y. Nakamura,
    On numerical invariants of Noetherian local rings of characteristic p,
    J. Math. Kyoto Univ., 34 (1994), 1-33.
  4. S. Goto and Y. Nakamura,
    On the Gorensteinness of graded rings associated to ideals of analytic deviation one,
    Contemporary Math., 159, 51-72.
  5. S. Goto and Y. Nakamura,
    Cohen-Macaulay Rees algebras of ideals having analytic deviation two,
    Tohoku Math. J., 49, (1994), 573-586.
  6. S. Goto and Y. Nakamura,
    Gorenstein graded rings associated to ideals of analytic deviation two,
    J. Algebra, 175, (1995), 811-819.
  7. S. Goto, Y. Nakamura and K. Nishida,
    Cohen-Macaulayness of graded rings associated to ideals,
    J. Math. Kyoto Univ., 36, (1996), 229-250.
  8. S. Goto, Y. Nakamura and K. Nishida,
    Cohen-Macaulay graded rings associated to ideals,
    Amer. Math. Soc., 118, (1996), 1197-1213.
  9. S. Goto, Y, Nakamura and K. Nishida,
    On the Gorensteinness in graded rings associated to certain ideals of analytic deviation one,
    Japanese J. of Math., 23, (1997), 303-318.
  10. T. Korb and Y. Nakamura,
    On the Cohen-Macaulayness of multi-Rees algebras and Rees algebras of powers of ideals,
    J. Math. Soc. Japan, 50, (1998), 451-467.
  11. Y. Nakamura,
    On the Buchsbaum Property of Associated Graded rings,
    J. of Algebra, 209, (1998), 345-366.
  12. S. Goto and Y, Nakamura,
    Multiplicity and Tight Closures of Parameters,
    J. of Algebra, 244, (2001), 302-311.
  13. S. Goto and Y, Nakamura,
    The bound of the difference between parameter ideals and their tight closures,
    Tokyo J. Math., 25, (2002), 41-48. 
  14.  S. Goto, K. Kurano, F. Hayasaka and Y. Nakamura,
        Rees algebras of the second syzygy module of the residue field of
        a regular local ring, Contemporary Math, 390, (2005), 97-107.
  15.  Eero Hyry, Yukio Nakamura and Lauri Ojala,
        Adjoint ideals and Gorenstein blowups in two-dimensional regular
        local rings, Math. Z., 254, (2006), 767-783.

学生の声
教員からのメッセージ
担当授業
業績等
講演等
略歴
研究内容

代数分野
 後藤研究室
 蔵野研究室
 中村研究室
幾何分野
 砂田研究室
 佐藤研究室
 阿原研究室
数理解析分野
 森本研究室
 廣瀬研究室
 二宮研究室
現象数理分野
 三村研究室
 桂田研究室
 上山研究室
確率統計分野
 岡部研究室
 對馬研究室
 松山研究室
数学教育分野
 長岡研究室
© Meiji University, All rights reserved.