The moduli space of cubic surfaces via Hessian K3 surfaces
| Project/Area Number |
22740007
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | University of Yamanashi |
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Principal Investigator |
KOIKE Kenji 山梨大学, 教育人間科学部, 准教授 (20362056)
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| Project Period (FY) |
2010 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2010: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
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| Keywords | 3次曲面 / K3曲面 / テータ関数 / 塩田-猪瀬構造 / Kummer曲面 / 楕円曲面 / HessianK3曲面 |
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| Research Abstract |
We studied Hessian K3 surfaces of cubic surfaces of non-Sylvester types. They are obtained also as toric hypersurfaces, and considered as a mirror family of(2, 2, 2)-hypersurfaces of(P^1)^3. Their period integrals satisfy the Lauricella's hypergeometeric differential equations F_C, and the period domain is the Siegel upper half space of degree two.
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Report
(3 results)
Research Products
(4 results)
