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Chapitre D'ouvrage Année : 2004

Transcendental Brauer-Manin obstruction on a pencil of elliptic curves

Résumé

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).

Dates et versions

hal-02371317 , version 1 (19-11-2019)

Identifiants

Citer

Olivier Wittenberg. Transcendental Brauer-Manin obstruction on a pencil of elliptic curves. Arithmetic of higher-dimensional varieties (Palo Alto, CA, 2002), Birkhäuser Boston, pp.259-267, 2004, Progress in Mathematics 226, ⟨10.1007/978-0-8176-8170-8_15⟩. ⟨hal-02371317⟩
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