2011 Fiscal Year Final Research Report
A study for deformation and b-function of isolated singularities on computational algebraic analysis
| Project/Area Number |
21740108
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Kinki University |
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Principal Investigator |
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| Project Period (FY) |
2009 – 2011
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| Keywords | 代数解析 / D加群 / 代数的局所コホモロジー / 孤立特異点 / b関数 |
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| Research Abstract |
Studying algebraic local cohomologies and holonomic systems attached to several types of isolated singularities from the view point of computational algebraic analysis, formulas concerningμ-constant deformation of singularities and jumps of roots of b-functions are given under some conditions for systems of differential operators.
And a result on differential orders and a construction of holonomic systems which is useful for studies of Logarithmic Comparison Theorem is given.
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