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arXiv · 2311.00650

Transcendental Brauer-Manin obstructions on singular K3 surfaces

Mohamed Alaa Tawfik·Rachel Newton
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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.

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Mohamed Alaa Tawfik, Rachel Newton. 2023-11-01. Transcendental Brauer-Manin obstructions on singular K3 surfaces. https://doi.org/10.1007/s40993-024-00580-z

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