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 |
Research Field |
Basic analysis
|
Research Institution | Kinki University |
Principal Investigator |
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Project Period (FY) |
2009 – 2011
|
Project Status |
Completed (Fiscal Year 2011)
|
Budget Amount *help |
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
|
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 / 計算代数解析 / D-加群 |
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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Report
(4 results)
Research Products
(6 results)