Supersingular K3 surfaces in characteristic 2 as double covers of a projective plane
| dc.creator | Shimada, Ichiro | |
| dc.date | 2003-11-06 | |
| dc.date.accessioned | 2026-07-07T05:02:39Z | |
| dc.date.available | 2026-07-07T05:02:39Z | |
| dc.description | For every supersingular $K3$ surface $X$ in characteristic 2, there exists a homogeneous polynomial $G$ of degree 6 such that $X$ is birational to the purely inseparable double cover of a projective plane defined by $w^2=G$. We present an algorithm to calculate from $G$ a set of generators of the numerical Néron-Severi lattice of $X$. As an application, we investigate the stratification defined by the Artin invariant on a moduli space of supersingular $K3$ surfaces of degree 2 in characteristic 2. | |
| dc.description | 54 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/math/0311073 | |
| dc.identifier | http://arxiv.org/abs/math/0311073 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69090 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J28 | |
| dc.title | Supersingular K3 surfaces in characteristic 2 as double covers of a projective plane | |
| dc.type | text |