A comparison of cohomological obstructions to the Hasse principle and to weak approximation. (English) Zbl 07842309
Summary: 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.
MSC:
| 14Fxx | (Co)homology theory in algebraic geometry |
| 14Gxx | Arithmetic problems in algebraic geometry; Diophantine geometry |
| 14Cxx | Cycles and subschemes |
References:
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