We prove a variational open adelic image theorem for the Galois action on the cohomology of smooth proper -schemes where is a smooth variety over a finitely generated field of positive characteristic. A central tool is a recent result of Cadoret, Hui and Tamagawa.
Nous démontrons un théorème de l’image adélique ouverte variationnel pour l’action du groupe de Galois sur la cohomologie d’un -schéma propre et lisse, où est une variété lisse sur un corps de type fini sur . Notre outil clé est un résultat récent de Cadoret, Hui et Tamagawa.
Revised:
Accepted:
Published online:
DOI: 10.5802/jtnb.1059
Keywords: Compatible system, adelic openness, positive characteristic
@article{JTNB_2018__30_3_965_0,
author = {B\"ockle, Gebhard and Gajda, Wojciech and Petersen, Sebastian},
title = {A variational open image theorem in positive characteristic},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {965--977},
publisher = {Soci\'et\'e Arithm\'etique de Bordeaux},
volume = {30},
number = {3},
year = {2018},
doi = {10.5802/jtnb.1059},
mrnumber = {3938636},
zbl = {07081582},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/jtnb.1059/}
}
TY - JOUR AU - Böckle, Gebhard AU - Gajda, Wojciech AU - Petersen, Sebastian TI - A variational open image theorem in positive characteristic JO - Journal de théorie des nombres de Bordeaux PY - 2018 SP - 965 EP - 977 VL - 30 IS - 3 PB - Société Arithmétique de Bordeaux UR - http://archive.numdam.org/articles/10.5802/jtnb.1059/ DO - 10.5802/jtnb.1059 LA - en ID - JTNB_2018__30_3_965_0 ER -
%0 Journal Article %A Böckle, Gebhard %A Gajda, Wojciech %A Petersen, Sebastian %T A variational open image theorem in positive characteristic %J Journal de théorie des nombres de Bordeaux %D 2018 %P 965-977 %V 30 %N 3 %I Société Arithmétique de Bordeaux %U http://archive.numdam.org/articles/10.5802/jtnb.1059/ %R 10.5802/jtnb.1059 %G en %F JTNB_2018__30_3_965_0
Böckle, Gebhard; Gajda, Wojciech; Petersen, Sebastian. A variational open image theorem in positive characteristic. Journal de théorie des nombres de Bordeaux, Volume 30 (2018) no. 3, pp. 965-977. doi : 10.5802/jtnb.1059. http://archive.numdam.org/articles/10.5802/jtnb.1059/
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