Abstract
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 language | English (US) |
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Pages (from-to) | 541-561 |
Number of pages | 21 |
Journal | Annales de l'Institut Fourier |
Volume | 68 |
Issue number | 2 |
DOIs | |
State | Published - 2018 |
Funding
Keywords: Brody hyperbolicity, Horikawa surfaces, cyclic covers. 2010 Mathematics Subject Classification: 32Q45, 14J29. (*) The author was partially supported by NSF Grant DMS-1362960.
Keywords
- Brody hyperbolicity
- Cyclic covers
- Horikawa surfaces
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology