| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2011: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Outline of Final Research Achievements |
We studied 3-Weierstrass points on genus two curves with extra involutions. We obtained new criterion for the gonality of singular plane curves. In particular, in case the maximal multiplicity of the singular points is equal to three, we obtained the almost optimal criterion. We introduced a new invariant V defined by the multiplicities of singular points. We also considered the lower bound of the gonality. We classified hyperelliptic curves among cyclic coverings of the projective line. We published papers on these topics.
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