2011 Fiscal Year Final Research Report
A study of cohomology of the moduli spaces of weighted stable curves and modular forms
| Project/Area Number |
22840041
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Tokyo Denki University |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2011
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| Keywords | 代数曲線のモジュライ空間 / コホモロジー / 対称群の表現 / ホッジ構造 |
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| Research Abstract |
We give a recursive algorithm to compute the character of the cohomology of the moduli space of stable n-pointed genus zero curves as a representation of the symmetric group on n letters. Using the algorithm we can show a formula for the maximum length of this character. Our main tool is connected to the moduli spaces of weighted stable curves.
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