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Research on foundations of p-adic Hodge theory and their application

Research Project

Project/Area Number 18540015
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Algebra
Research InstitutionThe University of Tokyo

Principal Investigator

TSUJI Takeshi  The University of Tokyo, 大学院・数理科学研究科, 准教授 (40252530)

Project Period (FY) 2006 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥3,640,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥540,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2007: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2006: ¥1,300,000 (Direct Cost: ¥1,300,000)
Keywordsp進Hodge 理論 / D 加群 / ポリログ層 / P進Hodge理論 / 数論的D加群 / フユージョン則 / p進Hodge理論 / p進L関数 / semi-stable層
Research Abstract

p 進エタール局所系に対する基礎概念Hodge-Tate, de Rham, crystalline が, 特殊ファイバーの生成点での様子だけで決定されることを明らかにした. また p 進体上の半安定還元をもつ代数多様体のべき単基本群のp 進Hodge 理論に対し, p 進エタール局所系のp 進Hodge 理論の観点からの解釈を与えた. その他, 数論的D 加群を用いた新しい視点からのlog crystallinecohomology の研究, 虚数乗法をもつ楕円曲線のp 進楕円ポリログ層の構造の完全な決定を行った.

Report

(4 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • Research Products

    (11 results)

All 2008 2007 2006

All Presentation (11 results)

  • [Presentation] Nearby cycles and D-modules of logschemes in characteristic p>02008

    • Author(s)
      辻雄
    • Organizer
      P-adicmethod and its applications in arithmeticgeometry at Sendai
    • Place of Presentation
      東北大学
    • Year and Date
      2008-11-07
    • Related Report
      2008 Final Research Report
  • [Presentation] Nearby cycles and D-modules of logschemes in characteristic p>02008

    • Author(s)
      辻雄
    • Organizer
      RecentProgress in Arithmetic D-modules theory
    • Place of Presentation
      IRMA, Universite deStrasbourg
    • Year and Date
      2008-10-03
    • Related Report
      2008 Final Research Report
  • [Presentation] On purity for p-adicrepresentations2008

    • Author(s)
      辻雄
    • Organizer
      Workshop : ArithmeticApplications of p-adic Analysis and RigidSpaces
    • Place of Presentation
      Universitat Regensburg
    • Year and Date
      2008-02-22
    • Related Report
      2008 Final Research Report
  • [Presentation] On purity for p-adic representations2008

    • Author(s)
      辻 雄
    • Organizer
      Arithmetic applications of p-adic analysis and rigid spaces
    • Place of Presentation
      レーゲンスブルグ大学
    • Year and Date
      2008-02-22
    • Related Report
      2007 Annual Research Report
  • [Presentation] On purity for p-adicrepresentations2007

    • Author(s)
      辻雄
    • Organizer
      Of ramification andVanishing Cycles
    • Place of Presentation
      東京大学
    • Year and Date
      2007-09-11
    • Related Report
      2008 Final Research Report
  • [Presentation] On purity for p-adic representations2007

    • Author(s)
      辻 雄
    • Organizer
      Of ramification and vanishing cycles
    • Place of Presentation
      東京大学
    • Year and Date
      2007-09-11
    • Related Report
      2007 Annual Research Report
  • [Presentation] On purity for p-adicrepresentations2007

    • Author(s)
      辻雄
    • Organizer
      p-adic method and itsapplications in arithmetic geometry 2007
    • Place of Presentation
      東京大学
    • Year and Date
      2007-06-11
    • Related Report
      2008 Final Research Report
  • [Presentation] On purity for p-adic representations2007

    • Author(s)
      辻 雄
    • Organizer
      p-adic method and its applications in arithmetic geometry 2007
    • Place of Presentation
      東京大学
    • Year and Date
      2007-06-11
    • Related Report
      2007 Annual Research Report
  • [Presentation] On log crystalline cohomology andarithmetic D-modules2006

    • Author(s)
      辻雄
    • Organizer
      Workshop : p-adicArithmetic Geometry
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2006-11-22
    • Related Report
      2008 Final Research Report
  • [Presentation] On semi-stable smooth p-adic etalesheaves2006

    • Author(s)
      辻雄
    • Organizer
      Workshop : Arithmetic AlgebraicGeometry
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2006-09-12
    • Related Report
      2008 Final Research Report
  • [Presentation] On semi-stable smooth p-adicsheaves2006

    • Author(s)
      辻雄
    • Organizer
      International conference : Hodgetheory
    • Place of Presentation
      San Servolo,Venice, Italy
    • Year and Date
      2006-06-24
    • Related Report
      2008 Final Research Report

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Published: 2006-04-01   Modified: 2016-04-21  

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