For smooth open toric varieties, we establish strong approximation off infinity with Brauer–Manin obstruction.
Pour les variétés toriques lisses ouvertes, on établit l’approximation forte par rapport à l’obstruction de Brauer–Manin hors de infini.
Revised:
Accepted:
Published online:
Keywords: torus, toric variety, strong approximation, Brauer–Manin obstruction
Mot clés : tore, variété torique, approximation forte, obstruction de Brauer–Manin
Cao, Yang 1; Xu, Fei 1
@article{AIF_2018__68_5_1879_0, author = {Cao, Yang and Xu, Fei}, title = {Strong {Approximation} with {Brauer{\textendash}Manin} {Obstruction} for {Toric} {Varieties}}, journal = {Annales de l'Institut Fourier}, pages = {1879--1908}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {68}, number = {5}, year = {2018}, doi = {10.5802/aif.3199}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3199/} }
TY - JOUR AU - Cao, Yang AU - Xu, Fei TI - Strong Approximation with Brauer–Manin Obstruction for Toric Varieties JO - Annales de l'Institut Fourier PY - 2018 SP - 1879 EP - 1908 VL - 68 IS - 5 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.3199/ DO - 10.5802/aif.3199 LA - en ID - AIF_2018__68_5_1879_0 ER -
%0 Journal Article %A Cao, Yang %A Xu, Fei %T Strong Approximation with Brauer–Manin Obstruction for Toric Varieties %J Annales de l'Institut Fourier %D 2018 %P 1879-1908 %V 68 %N 5 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.3199/ %R 10.5802/aif.3199 %G en %F AIF_2018__68_5_1879_0
Cao, Yang; Xu, Fei. Strong Approximation with Brauer–Manin Obstruction for Toric Varieties. Annales de l'Institut Fourier, Volume 68 (2018) no. 5, pp. 1879-1908. doi : 10.5802/aif.3199. https://aif.centre-mersenne.org/articles/10.5802/aif.3199/
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