A Comparison of Cohomological Obstructions to the Hasse Principle and to Weak Approximation

We show that certain Tate–Shafarevich groups are unramified which enables us to give an obstruction to the Hasse principle for torsors under tori over $p$-adic function fields.

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Bibliographic Details
Main Author: Tian, Yisheng
Format: Article
Language:English
Published: Académie des sciences 2024-05-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.547/
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