The Chow group of a Ch\atelet surface over a number field

Abstract

We compute the Chow group of a Ch\atelet surface over a dyadic field. Combined with the previous work of Bloch, Colliot-Th\'el\`ene, Coray, Ischebeck, Sansuc, Swinnerton-Dyer, and the author, this allows one to compute the Chow group of any Ch\atelet surface over any number field.

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