no. 2
Construction of hyperbolic Horikawa surfaces
[Construction de surfaces d’Horikawa hyperboliques]
Liu, Yuchen1
1 Princeton University, Department of Mathematics, Princeton, NJ, 08544-1000 (USA)
Annales de l'Institut Fourier, Tome 68 (2018) no. 2, pp. 541-561.

Nous construisons une surface de Horikawa Brody-hyperbolique qui est un revêtement double de ℙ 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.

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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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) 
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Liu, Yuchen. Construction of hyperbolic Horikawa surfaces. Annales de l'Institut Fourier, Tome 68 (2018) no. 2, pp. 541-561. doi : 10.5802/aif.3169. http://www.numdam.org/articles/10.5802/aif.3169/

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