2010 Fiscal Year Final Research Report
Reviews, developments and applications of the minimal model theorem
| Project/Area Number |
19340003
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | The University of Tokyo |
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Principal Investigator |
MIYAOKA Yoichi The University of Tokyo, 大学院・数理科学研究科, 教授 (50101077)
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| Project Period (FY) |
2006 – 2010
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| Keywords | 代数幾何 |
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| Research Abstract |
We studied vector bundles and Higgs bundles on algebraic varieties and orbifolds, giving several applications of them. We proved an effective version of the Green-Lang conjecture for entire curves on a surface of general type when the surface satisfies a certain topological condition. We gave a new definition of Higgs bundles, which enabled us to construct new examples of Higgs bundles.
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