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

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

2009-06-12

arxiv.org/abs/0906.2273v4

Mathematics

Algebraic Geometry

49 pages. The references for Proposition 5.1.2 has been further modified

Scientific paper

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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