2016 Fiscal Year Final Research Report
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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| Keywords | ネヴァンリンナ理論 / 擬小林双曲性 |
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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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| Free Research Field |
複素幾何学
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