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2012 Fiscal Year Final Research Report

Study of the mixed elliptic motives

Research Project

  • PDF
Project/Area Number 22540008
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Algebra
Research InstitutionUniversity of Tsukuba

Principal Investigator

KIMURA Kenichiro  筑波大学, 数理物質系, 講師 (50292496)

Project Period (FY) 2010 – 2012
Keywords数論幾何学
Research Abstract

Generalizing the Bloch-Kriz construction of mixed Tate motives, We constructed a Hopf algebra which should be the Galois group of the category of the Mixed elliptic motives. The method is by the bar construction of a differentialgraded algebra constructed from algebraic cycles on the products of an ellipticcurve and affine spaces. The motive of the elliptic polylogarithm exists in ourcategory.

  • Research Products

    (6 results)

All 2012 2011 2010

All Journal Article (2 results) (of which Peer Reviewed: 2 results) Presentation (4 results)

  • [Journal Article] Motivic zeta functions in additive monoidal categories2012

    • Author(s)
      K. Kimura, S. Kimura, N. Takahashi
    • Journal Title

      Journal of K-theory

      Volume: 9 Pages: 459-473

    • URL

      http://dx.doi.org/10.1017/is011011006jkt174

    • Peer Reviewed
  • [Journal Article] A Remark on the SecondAbel-Jacobi map2010

    • Author(s)
      K. Kimura
    • Journal Title

      Cycles, Motives and Shimura varieties

      Pages: 217-226

    • Peer Reviewed
  • [Presentation] Hodge realization of mixedTate motives2012

    • Author(s)
      木村健一郎
    • Organizer
      ホップ代数と量子群-応用 の可能性
    • Place of Presentation
      京都大学
    • Year and Date
      2012-09-04
  • [Presentation] Hodge realization of mixed Tate motives via period integral2012

    • Author(s)
      木村健一郎
    • Organizer
      代数幾何とモチーフ理論ワークショップ
    • Place of Presentation
      東北大学
    • Year and Date
      2012-03-08
  • [Presentation] Hodge realization of mixedTate motives via period integral2011

    • Author(s)
      木村健一郎
    • Organizer
      玉原特殊多様体研究集会
    • Place of Presentation
      東京大学玉原セミナーハウス
    • Year and Date
      2011-09-06
  • [Presentation] Mixed Elliptic Motives2010

    • Author(s)
      K. Kimura
    • Organizer
      NUMBER THEORY, GEOMETRY ANDPHYSICS AT THE CROSSROADS
    • Place of Presentation
      津田塾大学
    • Year and Date
      2010-08-08

URL: 

Published: 2014-08-29  

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