Transcendental Brauer-Manin obstructions on singular K3 surfaces
arXiv:2311.00650 · doi:10.1007/s40993-024-00580-z
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.
51 pages, minor edits and Theorem 5.2 corrected