Construction of hyperbolic Horikawa surfaces
arXiv:1702.08143 · doi:10.5802/aif.3169
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.
16 pages; comments are very welcome. Final version, to appear in Annales de l'Institut Fourier