We construct families of log K3 surfaces and study the arithmetic of their members. We use this to produce explicit surfaces with an order Brauer–Manin obstruction to the integral Hasse principle.
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Nous construisons plusieurs familles de surfaces log K3 et en étudions l’arithmétique. Nous en déduisons des exemples explicites de surfaces avec une obstruction de Brauer–Manin d’ordre 5 au principe de Hasse entier.
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Keywords: Integral points, log K3 surface, integral Hasse principle, Brauer–Manin obstruction
Mot clés : Points entiers, surface log K3, principe de Hasse entier, obstruction de Brauer–Manin
Lyczak, Julian 1
@article{AIF_2023__73_2_447_0, author = {Lyczak, Julian}, title = {Order $5$ {Brauer{\textendash}Manin} obstructions to the integral {Hasse} principle on log {K3} surfaces}, journal = {Annales de l'Institut Fourier}, pages = {447--478}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {73}, number = {2}, year = {2023}, doi = {10.5802/aif.3529}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3529/} }
TY - JOUR AU - Lyczak, Julian TI - Order $5$ Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces JO - Annales de l'Institut Fourier PY - 2023 SP - 447 EP - 478 VL - 73 IS - 2 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.3529/ DO - 10.5802/aif.3529 LA - en ID - AIF_2023__73_2_447_0 ER -
%0 Journal Article %A Lyczak, Julian %T Order $5$ Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces %J Annales de l'Institut Fourier %D 2023 %P 447-478 %V 73 %N 2 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.3529/ %R 10.5802/aif.3529 %G en %F AIF_2023__73_2_447_0
Lyczak, Julian. Order $5$ Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces. Annales de l'Institut Fourier, Volume 73 (2023) no. 2, pp. 447-478. doi : 10.5802/aif.3529. https://aif.centre-mersenne.org/articles/10.5802/aif.3529/
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