New refined obstructions control the Hasse principle and weak approximation for 0-cycles on generalised Kummer varieties and bielliptic surfaces assuming finiteness of Tate-Shafarevich groups, and address questions on Brauer-Manin versus connected descent.
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Refined obstructions to local-global principles for 0-cycles
New refined obstructions control the Hasse principle and weak approximation for 0-cycles on generalised Kummer varieties and bielliptic surfaces assuming finiteness of Tate-Shafarevich groups, and address questions on Brauer-Manin versus connected descent.