Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces

Lyczak J. 2023. Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces. Annales de l’Institut Fourier. 73(2), 447–478.

Download
OA 2023_AnnalesFourier_Lyczak.pdf 1.53 MB [Published Version]

Journal Article | Published | English

Scopus indexed
Department
Abstract
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.
Publishing Year
Date Published
2023-05-12
Journal Title
Annales de l'Institut Fourier
Acknowledgement
This paper was completed as part of a project which received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 754411.
Volume
73
Issue
2
Page
447-478
ISSN
IST-REx-ID

Cite this

Lyczak J. Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces. Annales de l’Institut Fourier. 2023;73(2):447-478. doi:10.5802/aif.3529
Lyczak, J. (2023). Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces. Annales de l’Institut Fourier. Association des Annales de l’Institut Fourier. https://doi.org/10.5802/aif.3529
Lyczak, Julian. “Order 5 Brauer–Manin Obstructions to the Integral Hasse Principle on Log K3 Surfaces.” Annales de l’Institut Fourier. Association des Annales de l’Institut Fourier, 2023. https://doi.org/10.5802/aif.3529.
J. Lyczak, “Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces,” Annales de l’Institut Fourier, vol. 73, no. 2. Association des Annales de l’Institut Fourier, pp. 447–478, 2023.
Lyczak J. 2023. Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces. Annales de l’Institut Fourier. 73(2), 447–478.
Lyczak, Julian. “Order 5 Brauer–Manin Obstructions to the Integral Hasse Principle on Log K3 Surfaces.” Annales de l’Institut Fourier, vol. 73, no. 2, Association des Annales de l’Institut Fourier, 2023, pp. 447–78, doi:10.5802/aif.3529.
All files available under the following license(s):
Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0):
Main File(s)
Access Level
OA Open Access
Date Uploaded
2023-08-07
MD5 Checksum
daf53fc614c894422e4c0fb3d2a2ae3e


Export

Marked Publications

Open Data ISTA Research Explorer

Web of Science

View record in Web of Science®

Sources

arXiv 2005.14013

Search this title in

Google Scholar