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

Shuji Saito; Kanetomo Sato

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

Algebraic Geometry 2014-02-04 v5

Authors: Shuji Saito , Kanetomo Sato

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.

Keywords

brauer algebras algebraic cycles and chow groups p-adic hodge theory

Cite

@article{arxiv.0906.2273,
  title  = {Zero-cycles on varieties over p-adic fields and Brauer groups},
  author = {Shuji Saito and Kanetomo Sato},
  journal= {arXiv preprint arXiv:0906.2273},
  year   = {2014}
}

Comments

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

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