Enriques surfaces with eight nodes

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

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.
Latex 2e, 11 pages

Keywords

Algebraic Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/62373

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0110122
 http://arxiv.org/abs/math/0110122

Collections

arXiv