Surfaces with canonical map of maximum degree
Algebraic Geometry
2020-01-22 v2
Abstract
We use the Borisov-Keum equations of a fake projective plane and the Borisov-Yeung equations of the Cartwright-Steger surface to show the existence of a regular surface with canonical map of degree 36 and of an irregular surface with canonical map of degree 27. As a by-product, we get equations (over a finite field) for the -invariant fibres of the Albanese fibration of the Cartwright-Steger surface and show that they are smooth.
Cite
@article{arxiv.1903.03017,
title = {Surfaces with canonical map of maximum degree},
author = {Carlos Rito},
journal= {arXiv preprint arXiv:1903.03017},
year = {2020}
}
Comments
Ancillary files with Magma code included. Final version, to appear in J Algebraic Geom