Infinite series of algebraic varieties
| Project/Area Number |
23540050
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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 | Hiroshima University |
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Principal Investigator |
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| Project Period (FY) |
2011-04-28 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | カンドル多様体 / 母関数 / モチーフ的ゼータ関数 / 数論的カンドル / カンドル / 代数的整数環 / 遠アーベル幾何 / 代数多様体 / リー山口代数 / 対称空間 / 等質空間 / 彩色 / 彩色空間 / 代数群 / 有理性 / 巾級数 / Chow 多様体 |
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| Outline of Final Research Achievements |
(1) I showed a theorem on rationality of multivariate series in a joint work with Shun-ichi Kimura(Hiroshima University) and Shigeru Kuroda. As an application, we showed that a motivic Euler-Chow series is not necessarily rational.
(2) I defined a quandle variety as an algebraic variety endowed with a quandle operation, and studied its structure. I also associated a quandle to each arithmetic curve, and studied how to reconstruct the arithmetic curve from the associated quandle.
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Report
(6 results)
Research Products
(6 results)
