Del Pezzo surfaces of degree four violating the Hasse principle are Zariski dense in the moduli scheme
[Les surfaces de del Pezzo de degré quatre qui violent le principe de Hasse sont Zariski-denses dans le schéma de modules]
Annales de l'Institut Fourier, Tome 67 (2017) no. 4, pp. 1783-1807.

Nous montrons que, sur chaque corps de nombres, les surfaces de del Pezzo de degré quatre qui violent le principe de Hasse sont denses pour la topologie de Zariski dans le schéma de modules.

We show that, over every number field, the degree four del Pezzo surfaces that violate the Hasse principle are Zariski dense in the moduli scheme.

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DOI : 10.5802/aif.3122
Classification : 11G35, 14G25, 14J26, 14J10
Keywords: Del Pezzo surface, Hasse principle, moduli scheme
Mot clés : Surface de del Pezzo, principe de Hasse, schéma de modules
Jahnel, Jörg 1 ; Schindler, Damaris 2

1 Département Mathematik Universität Siegen Walter-Flex-Straße 3 D-57068 Siegen (Germany)
2 Mathematisch Instituut Universiteit Utrecht Budapestlaan 6 NL-3584 CD Utrecht (The Netherlands)
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Jahnel, Jörg; Schindler, Damaris. Del Pezzo surfaces of degree four violating the Hasse principle are Zariski dense in the moduli scheme. Annales de l'Institut Fourier, Tome 67 (2017) no. 4, pp. 1783-1807. doi : 10.5802/aif.3122. http://archive.numdam.org/articles/10.5802/aif.3122/

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