A Complex Ball Uniformization of the Moduli Space of Cubic Surfaces Via Periods of K3 Surfaces
| dc.creator | Dolgachev, I. | |
| dc.creator | van Geemen, B. | |
| dc.creator | Kondo, S. | |
| dc.date | 2003-10-21 | |
| dc.date.accessioned | 2026-07-07T05:02:10Z | |
| dc.date.available | 2026-07-07T05:02:10Z | |
| dc.description | In this paper we show that the moduli space of nodal cubic surfaces is isomorphic to a quotient of a 4-dimensional complex ball by an arithmetic subgroup of the unitary group. This complex ball uniformization uses the periods of certain K3 surfaces which are naturally associated to cubic surfaces. A similar uniformization is given for the covers of the moduli space corresponding to geometric markings of the Picard group or to the choice of a line on the surface. We also give a detailed description of the boundary components corresponding to singular surfaces. | |
| dc.description | 47 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0310342 | |
| dc.identifier | http://arxiv.org/abs/math/0310342 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68947 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C30, 14J10, 14J28 | |
| dc.title | A Complex Ball Uniformization of the Moduli Space of Cubic Surfaces Via Periods of K3 Surfaces | |
| dc.type | text |