2011 Fiscal Year Final Research Report
Explicit construction of twistor spaces
| Project/Area Number |
21740043
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Tohoku University (2010-2011)
Tokyo Institute of Technology (2009) |
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Principal Investigator |
HONDA Nobuhiro 東北大学, 大学院・理学研究科, 准教授 (60311809)
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| Project Period (FY) |
2009 – 2011
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| Keywords | ツイスター空間 / 自己双対計量 / ミニツイスター空間 / Einstein-Weyl構造 / 共形構造 / 線形系 / 双有理変換 |
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| Research Abstract |
We have constructed various examples of algebraic twistor spaces in explicit forms, and given a characterization of them in terms of the corresponding self-dual metrics. Also we have refined the definition of minitwistor twistor spaces, and constructed various examples satisfying that property. In particular, we have constructed minitwistor spaces which are obtained from the so called Joyce metrics. There minitwistor spaces are rational surfaces which have simple structure, but usually have singularities. Moreover, we have concretely described some degenerations for significantexamples of some algebraic twistor spaces.
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