| Budget Amount *help |
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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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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