| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
|---|
| Research Abstract |
I proved the following results on overconvergent isocrystal, which is a certain p-adic differential equation. First, I proved the theorem of logarithmic extension for overconvergent isocrystals. Next I proved the theorem of cut-by-curves criterion for the log extendability of overconvergent isocrystals and the overconvergence of modules with integrable connections. Moreover, I proved a kind of purity theorem for overconvergent F-isocrystals. I defined the category of certain parabolic unit-root log convergent F-isocrystals and proved that it is equivalent to the category of tamely ramified p-adic representations of fundamental groups. Also, I proved a certain generalization of a result of Ogus-Vologodsky on the category of modules with integrable connection and the category of Higgs modules.
|
