| Budget Amount *help |
¥12,480,000 (Direct Cost: ¥9,600,000、Indirect Cost: ¥2,880,000)
Fiscal Year 2011: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2010: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2009: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2008: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
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| Research Abstract |
I mainly studied the birational geometry of higher-dimensional algebraic varieties. I obtained various vanishing theorems by using the theory of mixed Hodge structures. By these new vanishing theorems, I established the fundamental theorems of the minimal model theory for log canonical pairs. I also studied the abundance conjecture, isolated log canonical singularities, variations of mixed Hodge structure, and so on. In addition to the above mentioned studies, I am interested in the toric geometry, singular algebraic surfaces, generalizations of Kodaira's canonical bundle formula, and so on.
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