| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Research Abstract |
We, M. Hickel, T. Ito and I, succeeded to prove Diophantine inequality forexcellent Henselian domains, this may be the most general kind of local ringsfor the inequality. Next, I gave an algebraic explanation and a generalisationof the singularities of embeddings of plane algebraic curves found by Bos andCalvi. Using this theory, I have obtained an estimate of transcendency index ofanalytic curves enbedded in affine spaces.
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