| Project/Area Number |
21840044
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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 |
Algebra
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| Research Institution | Chiba Institute of Technology |
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Principal Investigator |
GUNJI Keiichi Chiba Institute of Technology, 工学, 助教 (00550659)
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| Project Period (FY) |
2009 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥2,522,000 (Direct Cost: ¥1,940,000、Indirect Cost: ¥582,000)
Fiscal Year 2010: ¥1,196,000 (Direct Cost: ¥920,000、Indirect Cost: ¥276,000)
Fiscal Year 2009: ¥1,326,000 (Direct Cost: ¥1,020,000、Indirect Cost: ¥306,000)
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| Keywords | 整数論 / Siegel保型形式 / Eisenstein級数 / 保型形式 |
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| Research Abstract |
There are two main result in our research ; one is the geometric application, and the other is the relationship to Siegel-Weil formula. For the geometric application, we calculate the constant term of the Siegel-Eisenstein series of weight g+1 and degree g, which allows us to calculate a part of the cohomology of the modular varieties. On Siege-Weil formula, we can show that the Siegel-Eisenstein series of degree 2, weight 2, and level p (prime) coincide with the genus theta series, which is the average of the theta series. Such result is the important example of the Siegel-Weil formula for low weights.
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