no. G3
Article de recherche - Géométrie algébrique, Théorie des nombres
A Comparison of Cohomological Obstructions to the Hasse Principle and to Weak Approximation
Tian, Yisheng1
1Institute for Advanced Study in Mathematics, Harbin Institute of Technology, 150001 Harbin, China
Comptes Rendus. Mathématique, Tome 362 (2024) no. G3, pp. 257-264

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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DOI : 10.5802/crmath.547

Tian, Yisheng  1

1 Institute for Advanced Study in Mathematics, Harbin Institute of Technology, 150001 Harbin, China
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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Tian, Yisheng. A Comparison of Cohomological Obstructions to the Hasse Principle and to Weak Approximation. Comptes Rendus. Mathématique, Tome 362 (2024) no. G3, pp. 257-264. doi: 10.5802/crmath.547

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