| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
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: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Research Abstract |
We study various phenomena peculiar to positive characteristic on algebraic geometry. Especially, we investigated local structure of a three dimensional variety X defined over an algebraically closed field k of characteristic p>0 with at most canonical singularities. Under the assumption that the p>2 and a general hyperplane cut of X has at most rational singularities, we showed that local structure of X in codimension two is well understood in the level of local equations. Consequently, we found that any singularity of such a variety X in codimension two is analytically a product of a rational double point and a nonsingular curve with two exceptions in p=3.
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