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Yuchen Liu
Construction of hyperbolic Horikawa surfaces
(Construction de surfaces d’Horikawa hyperboliques)
Annales de l'institut Fourier, 68 no. 2 (2018), p. 541-561, doi: 10.5802/aif.3169
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Class. Math.: 32Q45, 14J29
Keywords: Brody hyperbolicity, Horikawa surfaces, cyclic covers

Résumé - Abstract

We construct a Brody hyperbolic Horikawa surface that is a double cover of $\mathbb{P}^2$ 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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