| Budget Amount *help |
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Outline of Final Research Achievements |
We developed the general theory of a generalized Buchsbaum-Rim function of two variables and associated Buchsbaum-Rim multiplicities of a matrix over a local ring. We computed the generalized Buchsbaum-Rim function of two variables and its multiplicities in a special case, where the matrix is a parameter matrix of a special form over one-dimensional Cohen-Macaulay local ring. In the special case, we determined when the function coincides with the Buchsbaum-Rim polynomial of two variables. We also obtained the formula for associated Buchsbaum-Rim multiplicities in the special case.
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