no. 2
Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces
[Obstruction de Brauer–Manin d’ordre 5 au principe de Hasse entier sur des surfaces log K3]
Lyczak, Julian1
1 IST Austria Am Campus 1 3400 Klosterneuburg (Austria)
Annales de l'Institut Fourier, Tome 73 (2023) no. 2, pp. 447-478.

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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We construct families of log K3 surfaces and study the arithmetic of their members. We use this to produce explicit surfaces with an order 5 Brauer–Manin obstruction to the integral Hasse principle.

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DOI : 10.5802/aif.3529
Classification : 14G12, 14J26, 14F22, 11G35
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

1 IST Austria Am Campus 1 3400 Klosterneuburg (Austria)
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Order $5$ {Brauer{\textendash}Manin} obstructions to the integral {Hasse} principle on log {K3} surfaces},
     journal = {Annales de l'Institut Fourier},
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Lyczak, Julian. Order $5$ Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces. Annales de l'Institut Fourier, Tome 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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