| Budget Amount *help |
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
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: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Research Abstract |
The multiplier ideal sheaves appear when the Monge-Ampere equation can not be solved. On the other hand the Futaki invariant is an obstruction to the existence of Kahler-Einstein metrics, and the existence of Kahler-Einstein metrics is reduced to solving the Monge-Ampere equation. It is therefore expected to have some relationship between the multiplier ideal sheaves and the Futaki invariant. Yuji Sano and I obtained results in this direction. As a similar research in the same context, Yuji Sano and I obtained a universal lower bound of the diameter of compact shrinking Ricci solitons, which are the self-similar solutions to the Ricci flow. This lower bound was further improved in a joint work with Hai-Zhong Li and Xiang-Dong Li.
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