2016 Fiscal Year Final Research Report
| Project/Area Number |
24540061
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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 | Tokyo Institute of Technology (2014-2016)
Tohoku University (2012-2013) |
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Principal Investigator |
Honda Nobuhiro 東京工業大学, 理工学研究科, 教授 (60311809)
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Keywords | ツイスター空間 / 有理多様体 / 二重被覆空間 / スカラー平坦ケーラー計量 |
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| Outline of Final Research Achievements |
The main topic of this investigation is to analyse structure of spaces which have background from Riemannian geometry and mathematical physics. This space is called twistor spaces, and is 3-dimensional object which can be descrbed using complex numbers. We intensively investigated geometric structure of twistor spaces. The main tool for the analysis is meromorphic functions on the twistor spaces. Namely I proved existence of meromorphic functions which are enough for describing structure of the spaces. In particular, I described a series of twistor spaces in terms of simple polynomials.
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| Free Research Field |
複素幾何学
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