| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Research Abstract |
In a joint work with Nobuo Hara and Tadakazu Sawada, I studied F-blowups of rational double points and simple elliptic singularities in detail. As a byproduct of studies of Frobenius functors of noncommutative resolutions, I proved that concerning a wild finite group action which is free in codimension one, the associated quotient singularity is not strongly F-regular. Roughly, this means that under a mild condition, wild quotient singularities are always bad. Also I started a research on a generalization of the McKay correspondence to positive characteristics by using motivic integration. It has turned out that singularities and the number theory are closely related.
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