Zero-cycles on varieties over p-adic fields and Brauer groups

Abstract

In this paper, we study the Brauer-Manin pairing of smooth proper varieties over local fields, and determine the $p$-adic part of the kernel of one side. We also compute the $A_0$ of a potentially rational surface which splits over a wildly ramified extension.

31 pages. The proof of the main result in the local case has been much simplified. The computations of 0-cycles on cubic surfaces have been modified

References in corpus (1)

• A p-adic regulator map and finiteness results for arithmetic schemes

Cited by in corpus (1)

• Groupe de Chow des zéro-cycles sur les variétés p-adiques