| Budget Amount *help |
¥45,630,000 (Direct Cost: ¥35,100,000、Indirect Cost: ¥10,530,000)
Fiscal Year 2014: ¥7,930,000 (Direct Cost: ¥6,100,000、Indirect Cost: ¥1,830,000)
Fiscal Year 2013: ¥9,100,000 (Direct Cost: ¥7,000,000、Indirect Cost: ¥2,100,000)
Fiscal Year 2012: ¥9,100,000 (Direct Cost: ¥7,000,000、Indirect Cost: ¥2,100,000)
Fiscal Year 2011: ¥9,100,000 (Direct Cost: ¥7,000,000、Indirect Cost: ¥2,100,000)
Fiscal Year 2010: ¥10,400,000 (Direct Cost: ¥8,000,000、Indirect Cost: ¥2,400,000)
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| Outline of Final Research Achievements |
I described the change of the derived categories under the minimal model program in the case of toric varieties, and proved the DK conjecture in this case. I gave similar description for the divisorial extractions, and proved the derived McKay correspondence for finite abelian groups. I also proved the derived McKay correspondence for any finite subgroup of general linear group in the case of dimension 2, and described the semi-orthogonal complements.
I proved the abundance conjecture in the case of numerical Kodaira dimension 0. I proved that a Mori dream space is of Calabi-Yau type if and only if the Cox ring has only log canonical singularities. I extended the semi-positivity theorem of the Hodge bundle in the case of reducible fibers. I described the decomposition of the space of boundary divisors according to the minimal models and the canonical models.
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