| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Research Abstract |
We solved the problem that how many extremal discs are embedded in extremal Klein surfaces, and classified these surfaces by the number of extremal discs, location of extremal discs, and the group of automorphisms. For this aim we used hyperbolic regular polygons as their fundamental regions. As for Riemann surfaces of genus two with hyperbolic regular polygons we gave equations of the Teichmuller space and homogeneous coordinates for the surfaces by reconstructing fundamental regions based on the Weierstrass points.
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