Research of normal surface singularities related to degeneration families of compact Riemann surfaces.
| Project/Area Number |
25400064
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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 |
Geometry
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| Research Institution | Gunma University |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | 複素2次元特異点 / 極大イデアルサイクル / 基本サイクル / 閉リーマン面の退化族 / 特異点解消空間 / リーマン面の退化族 / Yau系列 / 幾何種数 / 特異点 / 擬斉次特異点 / Kummer被覆特異点 / 複素二次元特異点 / 複素乗法群作用特異点 |
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| Outline of Final Research Achievements |
We have been researching the relation between the maximal ideal cycle and the fundamental cycle for normal surface singularities. These cycles are important when we consider the relation between degeneration families of compact Riemann surfaces and surface singularities. For the result above, I wrote a paper with Masataka Tomari and we submitted it Tohoku Math. J. and it was accepted in September of 2015. Recently, I have been researching of embedded points of the pull-backs of maximal ideasl of normal surface singularities. Also, I studied the relation between it and pencil genus. I presented several times those results at symposiums and conferences. Now I am preparing to write a paper on it.
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Report
(4 results)
Research Products
(11 results)
