Enriques surfaces with eight nodes
Algebraic Geometry
2007-05-23 v1
Abstract
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 or to acting freely in codimension 1. We use this result to show that if is a minimal surface of general type with such that the image of the bicanonical map is birational to an Enriques surface then and the bicanonical map is a morphism of degree 2.
Keywords
Cite
@article{arxiv.math/0110122,
title = {Enriques surfaces with eight nodes},
author = {Margarida Mendes Lopes and Rita Pardini},
journal= {arXiv preprint arXiv:math/0110122},
year = {2007}
}
Comments
Latex 2e, 11 pages