| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
I achieved the following three results related to canonical Kahler metrics.(1) I proved that the vanishing of the polar dual to the momentum of the associated momentum polytope implies the existence of Kahler-Einstein metrics on manifolds without any assumption. Moreover, I found the counter-examples to the converse. (2) Up to eight dimension, we classified toric Fano manifolds with positive second Chern character by using computer. (3) I characterized relatively stable point under some group action as a zero of the associated moment map, which is a generalization of Kempf-Ness theorem.
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