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.

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.

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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Révisé le :
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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
Mots-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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     publisher = {Association des Annales de l{\textquoteright}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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