Construction of hyperbolic Horikawa surfaces
Algebraic Geometry
2018-11-20 v2 Complex Variables
Abstract
We construct a Brody hyperbolic Horikawa surface that is a double cover of branched along a smooth curve of degree . We also construct Brody hyperbolic double covers of Hirzebruch surfaces with branch loci of the lowest possible bidegree.
Keywords
Cite
@article{arxiv.1702.08143,
title = {Construction of hyperbolic Horikawa surfaces},
author = {Yuchen Liu},
journal= {arXiv preprint arXiv:1702.08143},
year = {2018}
}
Comments
16 pages; comments are very welcome. Final version, to appear in Annales de l'Institut Fourier