| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Outline of Final Research Achievements |
In this research, the theory of Matlis duality with term orders over regular local rings was developed. Based on the theory, a new algorithm it for computing the holonomic system consisting of the linear differential operators of order at most n that vanishes a given algebraic local cohomology class was presented. An algebraic algorithm based on toric ideal theory for solving parametric linear integral programming was also presented.
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