Study of F-blowup and singularity
| Project/Area Number |
20840036
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| Research Category |
Grant-in-Aid for Young Scientists (Start-up)
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Kagoshima University |
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Principal Investigator |
YASUDA Takehiko Kagoshima University, 大学院・理工学研究科(理学系), 准教授 (30507166)
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| Project Period (FY) |
2008 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥3,276,000 (Direct Cost: ¥2,520,000、Indirect Cost: ¥756,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2008: ¥1,716,000 (Direct Cost: ¥1,320,000、Indirect Cost: ¥396,000)
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| Keywords | 特異点 / 正標数 / フロベニウス射 / 非可交換代数幾何 / 代数幾何学 / F爆発 |
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| Research Abstract |
In this research, I studied F-blowup and singularity, and obtained several results. Relations between two different subjects have been found out. Monotonicity of F-blowup sequence and F-pure singularity. Boundedness of F-blowup sequence and singularity of finite F-representation type. The F-blowup and the noncommutative algebraic geometry. Especially, the last one has offered a new direction to my research. Then I have introduced the noncommutative Frobenius morphism and applied it to noncommutative desingularization.
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Report
(3 results)
Research Products
(13 results)
