A tale of two surfaces
Algebraic Geometry
2013-03-18 v2
Abstract
We point out a link between two surfaces which have appeared recently in the literature: the surface of cuboids and the Schoen surface. Both surfaces give rise to a surface with q=4, whose canonical map is 2-to-1 onto an intersection of 4 quadrics in P^6 with 48 nodes.
Keywords
Cite
@article{arxiv.1303.1910,
title = {A tale of two surfaces},
author = {Arnaud Beauville},
journal= {arXiv preprint arXiv:1303.1910},
year = {2013}
}
Comments
The first part has been completely rewritten. We show that the surface of cuboids belongs to a 6-dimensional family of intersection of 4 quadrics in P^6 with 48 nodes