| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2010: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2009: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Research Abstract |
In the present project of research, I devoted mainly myself to the analysis of structures on affine algebraic varieties from the various points of view. More precisely, in the first viewpoint, I succeeded into the translation of the existence of actions of a 1-dimensional additive group on affine cones over polarized projective varieties into the existence of certain kinds of open subset contained in the polarized varieties. In the second, I could reduce the homogeneous action of a 1-dimensional additive group on the affine 3-space to linear pencil of rational curves with special properties on weighted projective planes to be able to produce plenty of complicated automorphisms.
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