Construction of hyperbolic Horikawa surfaces
Annales de l'Institut Fourier, Volume 68 (2018) no. 2, pp. 541-561.

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

Nous construisons une surface de Horikawa Brody-hyperbolique qui est un revêtement double de 2 ramifié le long d’une courbe lisse de degré 10. Nous construisons également des surfaces Brody-hyperboliques qui sont des revêtements doubles de surfaces de Hirzebruch, dont l’ensemble de ramification est de bidegré minimal.

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DOI: 10.5802/aif.3169
Classification: 32Q45, 14J29
Keywords: Brody hyperbolicity, Horikawa surfaces, cyclic covers
Mot clés : Hyperbolicité au sens de Brody, surface de Horikawa, revêtements cycliques

Liu, Yuchen 1

1 Princeton University, Department of Mathematics, Princeton, NJ, 08544-1000 (USA)
License: CC-BY-ND 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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Liu, Yuchen. Construction of hyperbolic Horikawa surfaces. Annales de l'Institut Fourier, Volume 68 (2018) no. 2, pp. 541-561. doi : 10.5802/aif.3169. https://aif.centre-mersenne.org/articles/10.5802/aif.3169/

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