We construct a Brody hyperbolic Horikawa surface that is a double cover of 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 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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Keywords: Brody hyperbolicity, Horikawa surfaces, cyclic covers
Mot clés : Hyperbolicité au sens de Brody, surface de Horikawa, revêtements cycliques
@article{AIF_2018__68_2_541_0, author = {Liu, Yuchen}, title = {Construction of hyperbolic {Horikawa} surfaces}, journal = {Annales de l'Institut Fourier}, pages = {541--561}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {68}, number = {2}, year = {2018}, doi = {10.5802/aif.3169}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.3169/} }
TY - JOUR AU - Liu, Yuchen TI - Construction of hyperbolic Horikawa surfaces JO - Annales de l'Institut Fourier PY - 2018 SP - 541 EP - 561 VL - 68 IS - 2 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.3169/ DO - 10.5802/aif.3169 LA - en ID - AIF_2018__68_2_541_0 ER -
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. http://www.numdam.org/articles/10.5802/aif.3169/
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