[Les surfaces de del Pezzo de degré quatre qui violent le principe de Hasse sont Zariski-denses dans le schéma de modules]
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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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
CC-BY-ND 4.0
@article{AIF_2017__67_4_1783_0,
author = {Jahnel, J\"org and Schindler, Damaris},
title = {Del {Pezzo} surfaces of degree four violating the {Hasse} principle are {Zariski} dense in the moduli scheme},
journal = {Annales de l'Institut Fourier},
pages = {1783--1807},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {67},
number = {4},
year = {2017},
doi = {10.5802/aif.3122},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3122/}
}
TY - JOUR AU - Jahnel, Jörg AU - Schindler, Damaris TI - Del Pezzo surfaces of degree four violating the Hasse principle are Zariski dense in the moduli scheme JO - Annales de l'Institut Fourier PY - 2017 SP - 1783 EP - 1807 VL - 67 IS - 4 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.3122/ DO - 10.5802/aif.3122 LA - en ID - AIF_2017__67_4_1783_0 ER -
%0 Journal Article %A Jahnel, Jörg %A Schindler, Damaris %T Del Pezzo surfaces of degree four violating the Hasse principle are Zariski dense in the moduli scheme %J Annales de l'Institut Fourier %D 2017 %P 1783-1807 %V 67 %N 4 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.3122/ %R 10.5802/aif.3122 %G en %F AIF_2017__67_4_1783_0
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. https://aif.centre-mersenne.org/articles/10.5802/aif.3122/
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