| Budget Amount *help |
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2011: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Research Abstract |
Except Riemann surfaces conformal to Riemann spheres minus disks and one or two points, I showed that Teichmuller spaces of RIemann surfaces of topologically finite types can be realized as polyhedron in finite dimensional real projective spaces by means of length functions of suitable choices of simple closed geodesics. Thurston boundaries of Teichmuller spaces were also considered. I also constructed degenerate families of Riemann surfaces over tori explicitly, and determined their singular fibers and holomorphic sections.
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