| Project/Area Number |
25400053
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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 |
Algebra
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| Research Institution | Waseda University |
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Principal Investigator |
KAJI Hajime 早稲田大学, 理工学術院, 教授 (70194727)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 代数幾何学 / 射影双対 / ガウス写像 / 正標数 / 代数幾何 / 射影多様体 / 双対多様体 / ヴェロネーゼ多様体 / ブールの公式 / 次数 / グラスマン束 / チャーン指標 |
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| Outline of Final Research Achievements |
I obtained a degree formula for Grassmann bundles associated to vector bundles on non-singular projective varieties, as a joint work with Tomohide TERASOMA. I wrote a joint paper with TERASOMA for the resuls, and published it in a scientific journal. I also studied the higher Gauss maps for projective varieties, and obtained a degree formula for the images of higher Gauss maps of Veronese varieties, which yields a generalization of the classical formula by Boole. I wrote a paper for the result of a continued work on the linear degeneration of tangentially degenerate curves, and published it in a scientific journal.
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