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代数群の整数論

Research Project

Project/Area Number 09740016
Research Category

Grant-in-Aid for Encouragement of Young Scientists (A)

Allocation TypeSingle-year Grants
Research Field Algebra
Research InstitutionKanazawa University

Principal Investigator

森下 昌紀  金沢大学, 理学部, 助教授 (40242515)

Project Period (FY) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1998: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1997: ¥1,100,000 (Direct Cost: ¥1,100,000)
Keywords代数群 / アデール / 等質空間 / 玉河数 / アデ-ル幾何
Research Abstract

代数群の整数論の応用として、等質空間上の有理点の分布、数の幾何の一般化をアデール幾何の枠組みにおいて研究した。有理店の分布においては、S-Hardy-Littlewood等質空間の概念を導入し、S-整数点の分布を調べた。これについて論文1編を発表した。
数の幾何の等質空間上のアデール幾何への一般化についても、論文1編が発表予定である.

Report

(2 results)
  • 1998 Annual Research Report
  • 1997 Annual Research Report
  • Research Products

    (4 results)

All Other

All Publications (4 results)

  • [Publications] M.Morishita, T.Watanabe.: "On S-Hardy-littlewood homogenens spaces" International J. Math. Vol.9,No.6. 723-757 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Morishita, T.Watanabe: "Adrle Geometry of Numbers" The Acvenced Studies in Pure Mathematics. (To appear).

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Morishita: "On a family of subgroups of the Teichmiiller group of genus two obtained from the Jones representation" Jurnal of Math. Sci. Univ. of Tokyo. 4. 403-415 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] M.Morishita, T.Wztanabe: "On S-Hardy-Littlewood homogeneous spaces" International Journal of Mathematics.(To appear).

    • Related Report
      1997 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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