Construction of hyperbolic Horikawa surfaces

Yuchen Liu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We construct a Brody hyperbolic Horikawa surface that is a double cover of P2 branched along a smooth curve of degree 10. We also construct Brody hyperbolic double covers of Hirzebruch surfaces with branch loci of the lowest possible bidegree.

Original languageEnglish (US)
Pages (from-to)541-561
Number of pages21
JournalAnnales de l'Institut Fourier
Issue number2
StatePublished - 2018
Externally publishedYes


  • Brody hyperbolicity
  • Cyclic covers
  • Horikawa surfaces

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology


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