| Budget Amount *help |
¥14,950,000 (Direct Cost: ¥11,500,000、Indirect Cost: ¥3,450,000)
Fiscal Year 2021: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2020: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2019: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2018: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2017: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
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| Outline of Final Research Achievements |
In this research project, we mainly studied the deformations of algebraic varieties and singularities defined over a field of positive characteristic. We have two main results. (i) We proved vanishing theorems on globally F-split and globally F-regular varieties and used them to study the flat deformation of a globally F-split Fano 3-fold. (ii) We studied the deformations of F-pure and F-regular singularities. We proved if there exists a single prime number p such that the modulo p reduction of a Q-Gorenstein normal singularity (X, x) is F-pure, then (X,x) is log canonical.
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