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

Shuji Saito; Kanetomo Sato

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arXiv · 0906.2273

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

Shuji Saito·Kanetomo Sato

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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.

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Shuji Saito, Kanetomo Sato. 2014-02-01. Zero-cycles on varieties over p-adic fields and Brauer groups. https://arxiv.org/abs/0906.2273

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