Descent on toric fibrations
classification
🧮 math.NT
keywords
fielddescentapproximationbrauer--maninbrowningconstantcontrolsdefined
read the original abstract
We describe descent on families of torsors of a constant torus. A recent result of Browning and Matthiesen then implies that the Brauer--Manin obstruction controls the Hasse principle and weak approximation when the ground field is the field of rational numbers and the singular fibres are all defined over this field.
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