Studies on compactifications of Teichmuller spaces
| Project/Area Number |
23540221
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Waseda University (2012-2013)
Osaka City University (2011) |
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Principal Investigator |
KOMORI Yohei 早稲田大学, 教育・総合科学学術院, 教授 (70264794)
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
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| 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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| Keywords | 複素解析 / リーマン面 / 複素解析幾何 / 幾何学的群論 / 国際研究者交流 |
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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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Report
(4 results)
Research Products
(32 results)
