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Brauer–Manin obstruction and families of generalised Châtelet surfaces over number fields

Brauer–Manin obstruction and families of generalised Châtelet surfaces over number fields

Over infinitely many number fields [Formula: see text] (including all finite Galois extensions [Formula: see text] of odd degree unramified at 2), we give general sufficient conditions in order for the generalised Châtelet surfaces [Formula: see text] over [Formula: see text] associated to the normic equation [Formula: see text], where …