CY Manifolds with Locally Symmetric Moduli Spaces
| dc.creator | Todorov, Andrey N. | |
| dc.date | 2008-06-25 | |
| dc.date | 2008-07-02 | |
| dc.date.accessioned | 2026-07-07T09:47:50Z | |
| dc.date.available | 2026-07-07T09:47:50Z | |
| dc.description | There is a natural sequence of CY manifolds that are double covers of the projective g dimensional spaces ramified over 2g+2 hyperplanes. We observe that some of them are obtained as quotient of the action of the semi-direct product of g-1 copies of cyclic Z/2Z groups with the symmetric g group on the product of g-copies of hyper-elliptic curves of genus g. The quotient is a double cover of the projective g space ramified over 2g+2 hyperplanes. This construction generalizes the construction of a Kummer surface. The Kodaira-Spencer classes on the Jacobian are invariant under the action of the group. Thus they form a basis of Kodaira-Spencer classes on the CY manifold. Since the bracket of any Kodaira-Spencer classes on the Jacobian are zero, then they will be zero on the CY manifold. This implies that the moduli space of those CY manifolds is a locally symmetric space. | |
| dc.description | one reference is added and several typoes are corrected. Some changes are made in the introduction | |
| dc.identifier | https://arxiv.org/abs/0806.4010 | |
| dc.identifier | http://arxiv.org/abs/0806.4010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163992 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Differential Geometry | |
| dc.subject | 14J32 | |
| dc.title | CY Manifolds with Locally Symmetric Moduli Spaces | |
| dc.type | text |