| Project/Area Number |
25800053
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Geometry
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| Research Institution | Kisarazu National College of Technology |
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Principal Investigator |
Tadokoro Yuuki 木更津工業高等専門学校, その他部局等, 准教授 (10435414)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | リーマン面 / モジュライ空間 / 周期行列 / 調和体積 / 反復積分 / 超楕円曲線 / 写像類群 / トポロジー |
|---|
| Outline of Final Research Achievements |
The moduli space of compact Riemann surfaces is the space of all biholomorphism classes of compact Riemann surfaces. The period matrix of compact Riemann surfaces is a well-known complex analytic invariant. It enables a quantitative study of the local structure of the moduli space. For generic genus, few examples of period matrices are known. Schindler computed the period matrices of three types of hyperelliptic curves of genus g. One of them contains a recurrence relation. However, we explicitly obtain the period matrix of this curve, its entries being elements of the (2g+1)-st cyclotomic field.
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