| Budget Amount *help |
¥17,420,000 (Direct Cost: ¥13,400,000、Indirect Cost: ¥4,020,000)
Fiscal Year 2013: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2012: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2011: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2010: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
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| Outline of Final Research Achievements |
We proved the Inversion of Adjunction formula according to the minimal log discrepancies which is defined by Mather-Jacobian discrepancies. By means of this discrepancies we introduced MJ-canonical singularities and also MJ-multiplier ideal. We also prove that the ideal has good properties; vanishing theorem, subaddidivity property and so on. In general MJ-minimal log discrepancy is greater than of equal to the dimension of the variety, we determined all MJ , we determined singularities whose MJ-minimal log discrepancy.
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