Effectivity of Brauer-Manin obstructions on surfaces

Andrew Kresch, Yuri Tschinkel

Research output: Contribution to journalArticle

Abstract

We study Brauer-Manin obstructions to the Hasse principle and to weak approximation on algebraic surfaces over number fields. A technique for constructing Azumaya algebra representatives of Brauer group elements is given, and this is applied to the computation of obstructions.

Original languageEnglish (US)
Pages (from-to)4131-4144
Number of pages14
JournalAdvances in Mathematics
Volume226
Issue number5
DOIs
StatePublished - Mar 20 2011

Keywords

  • Azumaya algebras
  • Brauer-Manin obstruction
  • Effectivity
  • Primary
  • Secondary

ASJC Scopus subject areas

  • Mathematics(all)

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