| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
In this research project we have been seeking a higher dimensional analog of theory of the Painleve equations.
In the case of 4-dimension, Kawakami-Nakamura-Sakai had obtained partial classification of the Painleve-type equations. One of the coauthors, Kawakami, is finishing the classification, considering the ramified cases. About another goal of this project, geometrical characterization of the classification, Nakamura, who is another coauthor, took the first step on it. She gave a characterization of the equations by using Namikawa-Ueno's classification of degeneration of genus two curves.
Although Sakai didn't make a big contribution on the development of the theory, our group of research accomplished the initial goals to a respectable degree.
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