Surfaces with p_g=q=1, K^2=8 and nonbirtional bicanonical map
Algebraic Geometry
2008-08-26 v1
Abstract
We prove that if the bicanonical map of a minimal surface of general type S with p_{g}=q=1 and K^2=8 is non birational, then it is a double cover onto a rational surface. An application of this theorem is the complete classification of minimal surfaces of general type with p_{g}=q=1, K^2=8 and nonbirational bicanonical map.
Keywords
Cite
@article{arxiv.0808.3286,
title = {Surfaces with p_g=q=1, K^2=8 and nonbirtional bicanonical map},
author = {Giuseppe Borrelli},
journal= {arXiv preprint arXiv:0808.3286},
year = {2008}
}