Study on Saito free divisors and uniformization equations
| Project/Area Number |
23540077
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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 |
Geometry
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| Research Institution | Tokyo University of Agriculture and Technology |
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Principal Investigator |
SEKIGUCHI Jiro 東京農工大学, 工学(系)研究科(研究院), 教授 (30117717)
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| Co-Investigator(Renkei-kenkyūsha) |
KATO Mitsuo 琉球大学, 教育学部, 教授 (50045043)
HARAOKA Yoshishige 熊本大学, 大学院・自然科学研究科, 教授 (30208665)
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2011: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
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| Keywords | 自由因子 / 一意化方程式 / パンルベ方程式 / free divisor / 孤立特異点 |
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| Research Abstract |
Mainly Saito free divisors in an affine 3-dimensional space are studied. It is known that the zero set of the discriminant of any irreducible complex reflection group is a Saito free divisor. In the rank 3 case, we accomplished a classification of uniformization systems of differential equations along the zero set of discriminant. The result is published in Kyushu J. Math. There are seventeen Saito free divisors in an affine 3 dimensional space constructed by 1-parameter families of curves with simple singularities. We accomplished a classification of holonomic systems of rank 2 with singularities along such Saito free divisors.
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Report
(4 results)
Research Products
(45 results)
