| Budget Amount *help |
¥11,700,000 (Direct Cost: ¥9,000,000、Indirect Cost: ¥2,700,000)
Fiscal Year 2011: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2010: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2009: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2008: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
|
|---|
| Research Abstract |
I reduced the boundedness of minimal log discrepancies to the boundedness of multiplicities or embedding dimensions by using Riemann-Roch theorem, and through the analysis of Artinian rings as hyperplane sections, I recovered this boundedness in dimension 3 and the characterisation of 3-fold Gorenstein terminal singularities. From the point of view of the ascending chain condition, I studied the extension of the ideal-adic semi-continuity of log canonical thresholds due to Kollar and de Fernex, Ein, Mustata, to minimal log discrepancies, and proved this semi-continuity in the setting of purely log terminal singularities by using the theory of motivic integration. I studied also the classification of 3-fold divisorial contractions.
|
