| Budget Amount *help |
¥7,540,000 (Direct Cost: ¥5,800,000、Indirect Cost: ¥1,740,000)
Fiscal Year 2010: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2009: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2008: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2007: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Research Abstract |
We succeeded to find a good discretization of the hyperbolic Schwarz map for the Airy equation. This is the starting point of the study of singularities of discrete surfaces. For the hypergeometric differential equation of type (3,6), we found a relation between the two monodromy groups - arithmetic group acting of the domain of type IV, and the maximal non-real finite complex reflection group.
We described chambers cut out by six planes in general position in the 3-space.
Veronese arrangements of hyperplanes in real projective spaces re studied.
A set of generators of the monodromy group of the Appell-Lauricella's hypergeometric equation of type FA is obtained.
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