2011 Fiscal Year Final Research Report
The moduli space of cubic surfaces via Hessian K3 surfaces
| Project/Area Number |
22740007
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | University of Yamanashi |
|---|
Principal Investigator |
KOIKE Kenji 山梨大学, 教育人間科学部, 准教授 (20362056)
|
|---|
| Project Period (FY) |
2010 – 2011
|
| Keywords | 3次曲面 / K3曲面 / テータ関数 |
|---|
| 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.
|
