Development and application of Galois point theory of projective varieties
| Project/Area Number |
26400057
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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 | Ube National College of Technology |
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Principal Investigator |
MIURA Kei 宇部工業高等専門学校, 一般科, 教授 (50353321)
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| Co-Investigator(Renkei-kenkyūsha) |
YOSHIHARA Hisao 新潟大学, 自然科学系, 名誉教授 (60114807)
OHBUCHI Akira 徳島大学, 理工学部, 教授 (10211111)
TOKUNAGA Hiro-o 首都大学東京, 理工学研究科, 教授 (30211395)
TAKAHASHI Takeshi 新潟大学, 自然科学系, 准教授 (60390431)
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | ガロワ点 / 準ガロワ点 / 射影代数多様体 / 代数曲線 / 自己同型群 / ガロワ群 / 平面代数曲線 / リース積 / リサージュ曲線 |
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| Outline of Final Research Achievements |
(1)By using the wreath product of group, we succeeded in evaluating the Galois group at a certain non-Galois point (joint work with A. Ohbuchi). (2)We defined an extended version of the Lissajous curve, and studied the structure of the extension of the function field by using the point projection. (3)We introduced the concept of quasi-Galois points (joint work with S. Fukasawa and T. Takahashi). (4)We studied curves with large automorphism group. In particular, we discussed the case where the order is 60d. (joint work with T. Harui and A. Ohbuchi). (5) We tried to integrate the birational transformation belonging to the Galois point with the study of the Cremona group.
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Report
(5 results)
Research Products
(12 results)
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[Presentation] 準ガロワ点について2015
Author(s)
三浦敬
Organizer
第13回代数曲線論シンポジウム
Place of Presentation
神奈川工科大学アクティブ・ラーニング横浜
Year and Date
2015-12-20
Related Report
Invited
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