On surfaces with p_g=2q-3
Algebraic Geometry
2008-11-05 v1
Abstract
We study minimal complex surfaces S of general type with q(S)=q and p_g(S)=2q-3, q>= 5. We give a complete classification in case that S has a fibration onto a curve of genus >=2. For these surfaces K^2=8\chi. In general we prove that K^2>=7\chi-1 and that the stronger inequality K^2\ge 8\chi holds under extra assumptions (e.g., if the canonical system has no fixed part or the canonical map has even degree). We also describe the Albanese map of S.
Cite
@article{arxiv.0811.0390,
title = {On surfaces with p_g=2q-3},
author = {Margarida Mendes Lopes and Rita Pardini},
journal= {arXiv preprint arXiv:0811.0390},
year = {2008}
}
Comments
to appear in Advances in Geometry