Genus three curves and 56 nodal sextic surfaces
Algebraic Geometry
2016-03-22 v1
Abstract
Catanese and Tonoli showed that the maximal cardinality for an even set of nodes on a sextic surface is 56 and they constructed such nodal surfaces. In this paper we give an alternative, rather simple, construction for these surfaces starting from a non-hyperelliptic genus three curve. We illustrate our method by giving explicitly the equation of such a sextic surface starting from the Klein curve.
Cite
@article{arxiv.1603.06247,
title = {Genus three curves and 56 nodal sextic surfaces},
author = {Bert van Geemen and Yan Zhao},
journal= {arXiv preprint arXiv:1603.06247},
year = {2016}
}