• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Linear Systems on Algebraic Curves and its Applications

Research Project

Project/Area Number 19540035
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

OHBUCHI Akira  The University of Tokushima, 総合科学部, 教授 (10211111)

Co-Investigator(Kenkyū-buntansha) KATO Takao  山口大学, 理学部, 教授 (10016157)
YONEDA Jiryo  神奈川工科大学, 工学部, 教授 (90162065)
SAKAI Fumio  埼玉大学, 大学院・理学研究科, 教授 (40036596)
HONMA Masaaki  神奈川大学, 工学部, 教授 (80145523)
Project Period (FY) 2007 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2008: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2007: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords代数幾何 / 代数曲線 / 特殊線形系 / ブリル=ネーター理 / ブリルニネーター理
Research Abstract

第五回代数曲線論シンポジウム(徳島大学工学部にて2007 年 11 月 24 日 (土) -11 月 25 日 (日))、第六回代数曲線論シンポジウム(神奈川大学工学部にて2008 年 12 月 15 日 (月) - 12 月18 日 (木))を開催し、幅広い情報提供を行った。また神奈川工科大学の米田二良や大阪大学大学院の春井岳との共同研究で平面曲線の最少次数モデルの評価式に関する興味深い結果を得ることに成功した。

Report

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

    (9 results)

All 2008 2007 Other

All Journal Article (7 results) (of which Peer Reviewed: 3 results) Presentation (2 results)

  • [Journal Article] Double coverings between smooth plane curves2008

    • Author(s)
      Akira Ohbuchi
    • Journal Title

      Kodai Mathematical Journal 31

      Pages: 257-262

    • NAID

      130004687889

    • Related Report
      2008 Annual Research Report 2008 Final Research Report
  • [Journal Article] Existence of the non-primitive Weierstrass gap sequences on curves of genus 82008

    • Author(s)
      Akira Ohbuchi
    • Journal Title

      Bull. Braz. Math. Soc. 1

      Pages: 109-121

    • Related Report
      2008 Annual Research Report 2008 Final Research Report
  • [Journal Article] Double coverings between smooth plane curves2008

    • Author(s)
      Akira Ohbuchi
    • Journal Title

      Kodai Mathematical Journal (to appear)

    • NAID

      130004687889

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On Double Covering of a Pointednon-singular Curve with any Wyerstrass Semigroup2007

    • Author(s)
      Akira Ohbuchi
    • Journal Title

      Tukuba Journal of Mathematics 30

      Pages: 43-54

    • Related Report
      2008 Final Research Report
  • [Journal Article] On the Castelnuovo -Severi inequality for a double covering2007

    • Author(s)
      Akira Ohbuchi
    • Journal Title

      Algebraic Geometry in East Asia II (Hanoi) 1

      Pages: 11-29

    • Related Report
      2008 Final Research Report
  • [Journal Article] On Double Covering of a Pointed non-singular Curve with any Wyerstrass Semigroup2007

    • Author(s)
      Akira Ohbuchi
    • Journal Title

      Tukuba Journal of Mathematics 30

      Pages: 43-54

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Castelnuovo-Severi inequality for a double covering2007

    • Author(s)
      Akira Ohbuchi
    • Journal Title

      Algebraic Geometry in East Asia II(Hanoi) 1

      Pages: 11-29

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] 種数9の4-gonal curveについて

    • Author(s)
      大渕朗
    • Place of Presentation
      高知大学理学部
    • Related Report
      2008 Final Research Report
  • [Presentation] On tetragonal curve of genus 9

    • Author(s)
      大渕朗
    • Place of Presentation
      九州大学代数幾何シンポジウム
    • Related Report
      2008 Final Research Report

URL: 

Published: 2007-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi