2010 Fiscal Year Final Research Report
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 埼玉大学, 大学院・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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| Keywords | 代数幾何 |
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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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