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
@unpublished{AIF_0__0_0_A104_0,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},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
year = {2022},
doi = {10.5802/aif.3529},
language = {en},
note = {Online first},
}
TY - UNPB 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 - 2022 DA - 2022/// PB - Association des Annales de l’institut Fourier N1 - Online first UR - https://doi.org/10.5802/aif.3529 DO - 10.5802/aif.3529 LA - en ID - AIF_0__0_0_A104_0 ER -
%0 Unpublished Work %A Lyczak, Julian %T Order $5$ Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces %J Annales de l'Institut Fourier %D 2022 %I Association des Annales de l’institut Fourier %Z Online first %U https://doi.org/10.5802/aif.3529 %R 10.5802/aif.3529 %G en %F AIF_0__0_0_A104_0
Lyczak, Julian. Order $5$ Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces. Annales de l'Institut Fourier, Online first, 32 p.
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