For geometrically Kummer K3 surfaces over p-adic fields with reduction assumptions, A0(X) equals a divisible group plus a finite group, proving the Raskind-Spiess/Colliot-Thélène conjecture in full for the first time, with some local-to-global results for Brauer-Manin on zero-cycles.
B loch , Duke Math
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Local and local-to-global Principles for zero-cycles on geometrically Kummer $K3$ surfaces
For geometrically Kummer K3 surfaces over p-adic fields with reduction assumptions, A0(X) equals a divisible group plus a finite group, proving the Raskind-Spiess/Colliot-Thélène conjecture in full for the first time, with some local-to-global results for Brauer-Manin on zero-cycles.