The Brauer-Manin pairing, class field theory, and motivic homology

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2 Citations (Scopus)

Abstract

For a smooth proper variety over a p-adic field, its Brauer group and abelian fundamental group are related to higher Chow groups by the Brauer- Manin pairing and class field theory.We generalize this relation to smooth (possibly nonproper) varieties, using motivic homology and a variant of Wiesend's ideal class group. Several examples are discussed.

Original languageEnglish
Pages (from-to)29-58
Number of pages30
JournalNagoya Mathematical Journal
Volume210
DOIs
Publication statusPublished - 2013 Jun 26

ASJC Scopus subject areas

  • Mathematics(all)

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