Uniformization, hyperbolicity, and Nevanlinna theory
| Project/Area Number |
24540069
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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 |
Geometry
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| Research Institution | Osaka University (2015-2016)
Tokyo Institute of Technology (2012-2014) |
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Principal Investigator |
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| Project Period (FY) |
2012-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | ネヴァンリンナ理論 / 擬小林双曲性 / 高次元値分布論 / 小林擬距離 / ブロッホ原理 / 小林双曲性 / 特殊集合 / 高次元ネヴァンリンナ理論 / 高次元Nevanlinna理論 |
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| Outline of Final Research Achievements |
I proved that subvariety of general type on abelian variety is pseudo Kobayashi hyperbolic. This problem starts from Bloch's classical paper in 1920's. Subsequently Ochiai, Kawamata proved Bloch's conjecture for entire curve. After that, it was discussed by several authors whether this result can be generalized as some kind of normality of families of holomorphic maps from the unit disc. Our result answers this question.
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Report
(6 results)
Research Products
(18 results)
