Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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Research Abstract |
We introduced the notions of adjoint ideal sheaves and maximal non-lc ideal sheaves as analogs or variants of multiplier ideal sheaves, and then we studied their local properties by characteristic pmethods such as tight closure and Frobenius splitting. Also, we carried out a systematic study of invariants (F-jumping numbers, parameter F-jumping number, F-thresholds and non-F-pure ideals) related to test ideals, which can be viewed as a positive characteristic analog of multiplier ideal sheaves.
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