On rational functions and singularities of plane algebraic curves
| Project/Area Number |
20540038
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Saitama University |
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Principal Investigator |
SAKAI Fumio Saitama University, 理工学研究科, 教授 (40036596)
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| Co-Investigator(Renkei-kenkyūsha) |
KOJIMA Hisashi 埼玉大学, 大学院・理工学研究科, 教授 (90146118)
FUKUI Toshizumi 埼玉大学, 大学院・理工学研究科, 教授 (90218892)
EBIHARA Madoka 埼玉大学, 大学院・理工学研究科, 講師 (80213578)
TONO Keita 埼玉大学, 大学院・理工学研究科, 非常勤講師 (30422215)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 代数幾何 / 平面曲線 / ワイエルシュトラス点 / 分岐点 / 自己同型群 / セクスタクティック点 / 変曲点 / 代数曲線 / 特異点 / 有理関数体 / ゴナリティ |
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| Research Abstract |
We studied Weierstrass points on Picard curves, 2-Weierstrass points on Kuribayashi curves and 3-Weierstrass points on genus two curves. We published papers on these topics. We also obtained new results concerning the criterion for the gonality of singular plane curves.
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Report
(5 results)
Research Products
(34 results)
