| Co-Investigator(Kenkyū-buntansha) |
桂 利行 東京大学, 大学院・数理科学研究科, 教授 (40108444)
川又 雄二郎 東京大学, 大学院・数理科学研究科, 教授 (90126037)
斎藤 毅 東京大学, 大学院・数理科学研究科, 教授 (70201506)
寺杣 友秀 東京大学, 大学院・数理科学研究科, 教授 (50192654)
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| Budget Amount *help |
¥8,580,000 (Direct Cost: ¥6,600,000、Indirect Cost: ¥1,980,000)
Fiscal Year 2010: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2009: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2008: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2007: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
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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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