2009 Fiscal Year Final Research Report
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 |
Research Field |
Algebra
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Research Institution | Kagoshima University |
Principal Investigator |
YASUDA Takehiko Kagoshima University, 大学院・理工学研究科(理学系), 准教授 (30507166)
|
Project Period (FY) |
2008 – 2009
|
Keywords | 特異点 / 正標数 |
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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Research Products
(5 results)