| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2021: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
I studied minimal model program in positive characteristic. In particular, I establish a boundedness result for del Pezzo surfaces over imperfect fields. Recently Yobuko has introduced quasi-F-splitting. I study quasi-F-splitting by the view point of minimal model program. I established a vanishing theorem for toric varieties. I generalise, under suitable setting, a classical Bertini theorem to the case when the base ring is excellent.
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