4.1 Article

CONSTRUCTION OF HYPERBOLIC HORIKAWA SURFACES

Journal

ANNALES DE L INSTITUT FOURIER
Volume 68, Issue 2, Pages 541-561

Publisher

ANNALES INST FOURIER
DOI: 10.5802/aif.3169

Keywords

Brody hyperbolicity; Horikawa surfaces; cyclic covers

Categories

Funding

  1. NSF [DMS-1362960]

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We construct a Brody hyperbolic Horikawa surface that is a double cover of P-2 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.

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