On Schoen surfaces
Algebraic Geometry
2013-03-08 v1
Abstract
We give a new construction of the irregular, generalized Lagrangian, surfaces of general type with p_g=5, \chi=2, K^2=8, recently discovered by Chad Schoen. Our approach proves that, if S is a general Schoen surface, its canonical map is a finite morphism of degree 2 onto a canonical surface with invariants p_g=5, \chi=6, K^2=8, a complete intersection of a quadric and a quartic hypersurface in P^4, with 40 even nodes.
Cite
@article{arxiv.1303.1750,
title = {On Schoen surfaces},
author = {Ciro Ciliberto and Margarida Mendes Lopes and Xavier Roulleau},
journal= {arXiv preprint arXiv:1303.1750},
year = {2013}
}
Comments
10 pages