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Transcendental Brauer-Manin obstructions on singular K3 surfaces (2311.00650v2)
Published 1 Nov 2023 in math.NT and math.AG
Abstract: Let E and E' be elliptic curves over Q with complex multiplication by the ring of integers of an imaginary quadratic field K and let Y=Kum(ExE') be the minimal desingularisation of the quotient of ExE' by the action of -1. We study the Brauer groups of such surfaces Y and use them to furnish new examples of transcendental Brauer-Manin obstructions to weak approximation.