2013 Fiscal Year Final Research Report
Analysis of the moduli space of rational maps from the point of view of complex dynamics
| Project/Area Number |
22540240
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | 防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工学群) |
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Principal Investigator |
FUJIMURA Masayo 防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工, 総合教育学群, 講師 (00531758)
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| Project Period (FY) |
2010-04-01 – 2014-03-31
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| Keywords | 解析学 / 複素力学系 / 数式処理 / 有理関数 / モジュライ空間 |
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| Research Abstract |
One of the aim of this research is to give a faithful representation to the moduli space of rational maps, in order to apply to the theory of complex dynamical systems. For the moduli space of rational maps, a representation space and its compactification were obtained as one of the results of this research. Moreover, I solved problems of Goldberg that determine the number of Moebius equivalence classes corresponding to each sets of critical points explicitly when the degree is small.
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