Special linear systems and Weierstrass points on compact Riemann surfaces
| Project/Area Number |
26400141
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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 |
Basic analysis
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| Research Institution | Yamaguchi University |
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Principal Investigator |
Kato Takao 山口大学, その他部局等, 名誉教授 (10016157)
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| Co-Investigator(Kenkyū-buntansha) |
大渕 朗 徳島大学, 大学院理工学研究部, 教授 (10211111)
柳原 宏 山口大学, 創成科学研究科, 教授 (30200538)
米田 二良 神奈川工科大学, 基礎・教養教育センター, 教授 (90162065)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 閉リーマン面 / 代数曲線 / gonality 列 / Weierstrass point / Weierstrass 点 |
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| Outline of Final Research Achievements |
One of main themes of the study of compact Riemann surfaces is a classification problem of Riemann surfaces by the existence of meromorphic functions on them and conformal invariants. We have studied this theme. We have gotten results concerning a relation between Weierstrass points with prescribed gap sequences and involutions of Riemann surfaces, a behavior of gonality sequences, in particular, violating the slope inequality of them, and a characterization of Riemann surfaces on which the Clifford index is computed maximally.
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Report
(4 results)
Research Products
(9 results)
