| Project/Area Number |
24540042
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | The University of Tokushima |
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Principal Investigator |
OHBUCHI Akira 徳島大学, 大学院ソシオ・アーツ・アンド・サイエンス研究部, 教授 (10211111)
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| Co-Investigator(Kenkyū-buntansha) |
KATO Takao 山口大学, 理学部, 名誉教授 (10016157)
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| Co-Investigator(Renkei-kenkyūsha) |
KOMEDA Jiryo 神奈川工科大学, 工学部, 教授 (90162065)
HOMMA Masaaki 神奈川大学, 工学部, 教授 (80145523)
MIURA Kei 宇部工業高等専門学校, 一般科, 准教授 (50353321)
TAKAHASHI Takeshi 新潟大学, 工学部, 准教授 (60390431)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | 代数幾何 / 代数曲線 / ブリル＝ネーター理論 / 線形系 / 自己同型群 / ワイアシュトラス半群 / ガロア点 / コクセター群 / クリフォード指数 |
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| Outline of Final Research Achievements |
研究成果の概要（英文）：We prove that every automorphism of a smooth plane curve should be homology type, decsendent type and exceptional types. After this, we prove that automorphism is a homology type automorphism if and only if a Galois point type or a point defined by a composition of Galois covering and another covering. When a projection is a composition of Galois covering and another covering, its Galois closure can be embedded in a wreath product of some typical groups. According these resulte, we can construct a Galois closure of some covering map of a smooth plane curve whose Galois group contains a Btype Coxster group.
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