| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
1) We classified elliptic K3 surfaces whose Mordell-Weil group have p-torsion. As a corollary, we found the strong relationship between the moduli space of such surfaces and deformation spaces of rational double points. 2) We solved the problems on the dual graph of wild quotient singularities. 3) By introducing the notion of pseudo-derivations, we consider quotient singularities not only by finite groups but by group schemes, which enable the unified treatment of various quotient singularities in positive characteristic. 4) We continued the evaluation of AST pseudo-random number generators. We also collect and consider the phenomena which give the evidences of the analogy between non-Kaeler geometry and positive characteristic algebraic geometry.
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