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arxiv: 0906.2273 · v5 · pith:P5UQT4NZnew · submitted 2009-06-12 · 🧮 math.AG

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

classification 🧮 math.AG
keywords fieldsvarietiesadicbrauerbrauer-manincomputedetermineextension
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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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