| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
First, we obtained an explicit formula for a vector partition function with possibly negative weights. As an example, for the root system of type A, we obtain an alternative proof of certain formulas for the vector partition/volume function over the `nice chamber.' They are also applied to a presentation of solutions of a certain hypergeometric system. Second, we explicitly described the special multiple weight variety of type A as a tower of projective space bundles. Consequently, the cohomology ring of this space is written down in a very simple form. As an application, we obtained a system of differential equations which characterizes the special vector volume function of type A.
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