Enriques surfaces with eight nodes
| dc.creator | Lopes, Margarida Mendes | |
| dc.creator | Pardini, Rita | |
| dc.date | 2001-10-11 | |
| dc.date.accessioned | 2026-07-07T04:43:47Z | |
| dc.date.available | 2026-07-07T04:43:47Z | |
| dc.description | A nodal Enriques surface can have at most 8 nodes. We give an explicit description of Enriques surfaces with 8 nodes, showing that they are quotients of products of elliptic curves by a group isomorphic to $\Z_2^2$ or to $\Z_2^3$ acting freely in codimension 1. We use this result to show that if $S$ is a minimal surface of general type with $p_g=0$ such that the image of the bicanonical map is birational to an Enriques surface then $K^2_S=3$ and the bicanonical map is a morphism of degree 2. | |
| dc.description | Latex 2e, 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0110122 | |
| dc.identifier | http://arxiv.org/abs/math/0110122 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62373 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Enriques surfaces with eight nodes | |
| dc.type | text |