Surfaces with K^2=8, p_g=4 and canonical involution
Algebraic Geometry
2007-12-19 v2
Abstract
In this paper we classify completely all regular minimal surfaces with K^2=8, p_g=4 whose canonical map is composed with an involution. We obtain six unirational families of respective dimensions 28,28,32,33,38,34. The last two are irreducible components of the moduli space of minimal surfaces with K^2=8, p_g=4. These families hit three different topological types.
Cite
@article{arxiv.math/0603094,
title = {Surfaces with K^2=8, p_g=4 and canonical involution},
author = {Ingrid Bauer and Roberto Pignatelli},
journal= {arXiv preprint arXiv:math/0603094},
year = {2007}
}
Comments
23 pages. In this version we correct an error (which does not change the main theorem) and simplify substantially some proofs. For sake of clarity we decided to be more detailed in the case of surfaces having a genus 2 pencil