2010 Fiscal Year Final Research Report
Complex analytic geometry on the holomorphic branched covering structure
| Project/Area Number |
19540181
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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 |
Basic analysis
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| Research Institution | Nara Women's University |
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Principal Investigator |
MASAHIKO Taniguchi Nara Women's University, 理学部, 教授 (50108974)
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| Project Period (FY) |
2007 – 2010
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| Keywords | 複素解析 / 複素幾何 / 複素力学系 |
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| Research Abstract |
The new geometrical compactification of the dynamical moduli space of polynomials is constructed, and also for the dynamical moduli space of rational functions, a natural system of global virtual coordinates is obtained. Next, a basic theory of the moduli spaces for holomorphic dynamics acting on the quasiconformal Teichmueller space is completely established, and furthermore as application, a fundamental theorem on the boundary behavior of holomorphic maps is proved.
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