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arXiv · 1502.04386

Transcendental Brauer-Manin obstruction on a pencil of elliptic curves

Olivier Wittenberg
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Abstract

This note gives an explicit example of transcendental Brauer-Manin obstruction to weak approximation. It has two features which the only previously known example of such obstruction did not have: the class in the Brauer group which is responsible for the obstruction is divisible, and the underlying algebraic variety is an elliptic surface (a K3 surface).

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Olivier Wittenberg. 2015-02-15. Transcendental Brauer-Manin obstruction on a pencil of elliptic curves. https://doi.org/10.1007/978-0-8176-8170-8_15

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