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Complex geometric study of analytic subset in complex manifolds

Research Project

Project/Area Number 20740085
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Basic analysis
Research InstitutionMatsue National College of Technology

Principal Investigator

HAMANO Sachiko  Matsue National College of Technology, 人間発達文化学類, 准教授 (10469588)

Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywordsクザン問題 / 複素多様体 / 解析的集合 / 擬凸状領域 / リーマン面 / スタイン多様体 / スタイン空間 / 有理型凸性 / 有理型近似定理
Research Abstract

We may relax the condition in the Cousin II problem, and consider the extra zero problem. We proved that the extra zero problem was solvable for every Cousin II distribution on 2-dimensional Stein manifolds. Moreover, for every n≧3, we gave counterexamples of the extra zero problem.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (40 results)

All 2011 2010 2009 2008

All Journal Article (13 results) (of which Peer Reviewed: 5 results) Presentation (27 results)

  • [Journal Article] Variation formulas for L_1-principal functions and application to the simultaneous uniformization problem2011

    • Author(s)
      Sachiko Hamano
    • Journal Title

      Michigan Mathematical Journal 掲載確定

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Variation formulas for principal functions (II) Application to variation for harmonic spans2011

    • Author(s)
      Sachiko Hamano, Fumio Maitani, Hiroshi Yamaguchi
    • Journal Title

      Nagoya Mathematical Journal 掲載確定

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Variation formulas for principal functions and harmonic spans2011

    • Author(s)
      Sachiko Hamano
    • Journal Title

      京都大学数理解析研究所講究録 1694巻

      Pages: 121-130

    • Related Report
      2010 Final Research Report
  • [Journal Article] Several complex variable's property of harmonic span for Riemann surface2011

    • Author(s)
      Sachiko Hamano, Fumio Maitani, Hiroshi Yamaguchi
    • Journal Title

      京都大学数理解析研究所講究録 1694巻

      Pages: 131-143

    • Related Report
      2010 Final Research Report
  • [Journal Article] Variation formulas for principal functions(II) Application to variation for harmonic spans2011

    • Author(s)
      Sachiko Hamano, Fumio Maitani, Hiroshi Yamaguchi
    • Journal Title

      Nagoya Mathematical Journal

      Volume: (掲載確定)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Variation formulas for principal functions and harmonic spans2010

    • Author(s)
      Sachiko Hamano
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1694 Pages: 121-130

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Several complex variable's property of harmonic span for Riemann surface2010

    • Author(s)
      Sachiko Hamano, Fumio Maitani, Hiroshi Yamaguchi
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1694 Pages: 131-143

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Variation formulas for L_1-principal functions and application to the simultaneous uniformization problem(to appear)2010

    • Author(s)
      Sachiko Hamano
    • Journal Title

      Michigan Mathematical Journal (to appear)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Variation formulas for principal functions and spans of Riemann surfaces2009

    • Author(s)
      Sachiko Hamano
    • Journal Title

      京都大学数理解析研究所講究録 1661巻

      Pages: 21-28

    • Related Report
      2010 Final Research Report
  • [Journal Article] Variation formula and application to simultaneous uniformization problem2009

    • Author(s)
      Sachiko Hamano
    • Journal Title

      The Proceedings of the Twelfth Conference on Real and Complex Analysis in Sendai

      Pages: 33-38

    • Related Report
      2010 Final Research Report
  • [Journal Article] Variation formulas for principal functions and spans of Riemann surfaces2009

    • Author(s)
      Sachiko Hamano
    • Journal Title

      京都大学数理解析研究所講究録 1661

      Pages: 21-28

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Rigidity of Bergman length on Riemann surfaces under pseudoconvexity, Complex Analysis and its Applications2008

    • Author(s)
      Sachiko Hamano
    • Journal Title

      The Profeedings of the 15^<th> International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, OCAMI Studies Vol2

      Pages: 191-194

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Variation formulas for L_1-principal functions and applications2008

    • Author(s)
      Sachiko Hamano
    • Journal Title

      ポテンシャル論研究集会

      Pages: 105-109

    • Related Report
      2010 Final Research Report
  • [Presentation] 主関数の変分公式とその応用2011

    • Author(s)
      濱野佐知子
    • Organizer
      福島応用数学研究集会
    • Place of Presentation
      福島こらっせ
    • Year and Date
      2011-03-10
    • Related Report
      2010 Final Research Report
  • [Presentation] 主関数の変分公式とその応用2011

    • Author(s)
      濱野佐知子
    • Organizer
      福島応用数学研究集会
    • Place of Presentation
      福島こらっせ(招待講演)
    • Year and Date
      2011-03-10
    • Related Report
      2010 Annual Research Report
  • [Presentation] 主関数の2階変分公式とその応用2010

    • Author(s)
      濱野佐知子
    • Organizer
      複素解析的ベクトル場・葉層構造とその周辺
    • Place of Presentation
      龍谷大学セミナーハウスともいき荘
    • Year and Date
      2010-11-27
    • Related Report
      2010 Final Research Report
  • [Presentation] 主関数の2階変分公式とその応用2010

    • Author(s)
      濱野佐知子
    • Organizer
      複素解析的ベクトル場・葉層構造とその周辺
    • Place of Presentation
      龍谷大学セミナーハウス(招待講演)
    • Year and Date
      2010-11-27
    • Related Report
      2010 Annual Research Report
  • [Presentation] Variation formulas for principal functions and applications, Geometry of complex manifolds IV2010

    • Author(s)
      Sachiko Hamano
    • Place of Presentation
      Center International de Rencontres Mathematiques (France).
    • Year and Date
      2010-10-29
    • Related Report
      2010 Final Research Report
  • [Presentation] Variation formulas for principal functions and applications2010

    • Author(s)
      濱野佐知子
    • Organizer
      Geometry of complex manifolds IV
    • Place of Presentation
      Center International de Rencontres Mathematiques (France)(招待講演)
    • Year and Date
      2010-10-29
    • Related Report
      2010 Annual Research Report
  • [Presentation] Variation formulas for principal functions2010

    • Author(s)
      濱野佐知子
    • Organizer
      東京工業大学複素解析セミナー
    • Place of Presentation
      東京工業大学
    • Year and Date
      2010-10-19
    • Related Report
      2010 Final Research Report
  • [Presentation] Variation formulas for principal functions2010

    • Author(s)
      濱野佐知子
    • Organizer
      日本数学会函数論分科会特別講演
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-23
    • Related Report
      2010 Final Research Report
  • [Presentation] A remark on C^1 subharmonicity of the harmonic spans for discontinuously moving Riemann surfaces2010

    • Author(s)
      濱野佐知子
    • Organizer
      日本数学会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-23
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] Variation formulas for principal functions2010

    • Author(s)
      濱野佐知子
    • Organizer
      日本数学会 函数論分科 会特別講演
    • Place of Presentation
      名古屋大学(招待講演)
    • Year and Date
      2010-09-23
    • Related Report
      2010 Annual Research Report
  • [Presentation] 多変数函数論の基礎2010

    • Author(s)
      濱野佐知子
    • Organizer
      第45回函数論サマーセミナー企画講演
    • Place of Presentation
      ヒルズサンピア山形
    • Year and Date
      2010-08-27
    • Related Report
      2010 Final Research Report
  • [Presentation] A remark on C^1 subharmonicity of the harmonic spans for discontinuously moving Riemann surfaces2010

    • Author(s)
      濱野佐知子
    • Organizer
      東京大学複素解析幾何セミナー
    • Place of Presentation
      東京大学数理科学研究科
    • Year and Date
      2010-06-21
    • Related Report
      2010 Final Research Report
  • [Presentation] Variation formulas for principal functions (I) & (II)2009

    • Author(s)
      濱野佐知子
    • Organizer
      第52回函数論シンポジム
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2009-11-22
    • Related Report
      2010 Final Research Report
  • [Presentation] Variation formulas for principal functions(I)&(II)2009

    • Author(s)
      濱野佐知子
    • Organizer
      第52回函数論シンポジム
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2009-11-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] Variation formulas for principal functions (II)2009

    • Author(s)
      濱野佐知子
    • Organizer
      東京大学複素解析幾何セミナー
    • Place of Presentation
      東京大学数理科学研究科
    • Year and Date
      2009-10-19
    • Related Report
      2010 Final Research Report
  • [Presentation] 変化する領域のanalytic spanの多変数関数論的性質2009

    • Author(s)
      濱野佐知子
    • Organizer
      日本数学会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-27
    • Related Report
      2010 Final Research Report
  • [Presentation] 変化する領域の analytic span の多変数関数論的性質2009

    • Author(s)
      濱野佐知子
    • Organizer
      日本数学会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] Variation formulas for principal functions (I)2009

    • Author(s)
      Sachiko Hamano
    • Organizer
      Hayama Symposium on Complex Analysis in Several Variables XIII
    • Place of Presentation
      Shonan Village Center.
    • Year and Date
      2009-07-21
    • Related Report
      2010 Final Research Report
  • [Presentation] Variations in spans of Riemann surfaces under pseudoconvexity2009

    • Author(s)
      Sachiko Hamano
    • Organizer
      Special Lectures on Complex Analysis and Geometry
    • Place of Presentation
      Pohang University of Science and Technology, Pohang (KOREA).
    • Year and Date
      2009-02-10
    • Related Report
      2010 Final Research Report
  • [Presentation] Variational formula for principal function and its applications2009

    • Author(s)
      Sachiko Hamano
    • Organizer
      Special Lectures on Complex Analysis and Geometry
    • Place of Presentation
      Pohang University of Science and Technology, Pohang (KOREA).
    • Year and Date
      2009-02-09
    • Related Report
      2010 Final Research Report
  • [Presentation] L_1-主関数に関する2階変分公式とその応用について2009

    • Author(s)
      濱野佐知子
    • Organizer
      島根大学松江セミナー
    • Place of Presentation
      島根大学総合理工学部
    • Year and Date
      2009-01-14
    • Related Report
      2010 Final Research Report
  • [Presentation] 開リーマン面のスパンの動きについて2009

    • Author(s)
      濱野佐知子
    • Organizer
      リーマン面・不連続群論
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-01-10
    • Related Report
      2010 Final Research Report
  • [Presentation] Variational formulas for principal functions and for spans of Riemann surfaces2008

    • Author(s)
      濱野佐知子
    • Organizer
      葉層の微分幾何とベルグマン核
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-12-15
    • Related Report
      2010 Final Research Report
  • [Presentation] Variational formula and application to simultaneous uniformization problem2008

    • Author(s)
      Sachiko Hamano
    • Organizer
      The 12^<th> Korea-Japan Seminar on Real and Complex Analysis
    • Place of Presentation
      東北大学
    • Year and Date
      2008-12-04
    • Related Report
      2010 Final Research Report
  • [Presentation] Variational formulas for L_1-principal functions and applications2008

    • Author(s)
      濱野佐知子
    • Organizer
      2008年度ポテンシャル論研究集会
    • Place of Presentation
      秋田市明徳館ビル2階カレッジプラザ
    • Year and Date
      2008-11-02
    • Related Report
      2010 Final Research Report
  • [Presentation] L_1-主関数に関する2階変分公式とSchottky coveringの同時一意化について2008

    • Author(s)
      濱野佐知子
    • Organizer
      日本数学会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-25
    • Related Report
      2010 Final Research Report 2008 Annual Research Report
  • [Presentation] L_0-主関数に関する2階変分公式と開リーマン面のspanの動きについて2008

    • Author(s)
      濱野佐知子
    • Organizer
      日本数学会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-25
    • Related Report
      2010 Final Research Report

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Published: 2008-04-01   Modified: 2016-04-21  

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