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

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Obstruction
Azumaya Algebra
Hasse Principle
Weak Approximation
Brauer Group
Algebraic Surfaces
Number field

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Effectivity of Brauer-Manin obstructions on surfaces. / Kresch, Andrew; Tschinkel, Yuri.

In: Advances in Mathematics, Vol. 226, No. 5, 20.03.2011, p. 4131-4144.

Research output: Contribution to journalArticle

Kresch, Andrew ; Tschinkel, Yuri. / Effectivity of Brauer-Manin obstructions on surfaces. In: Advances in Mathematics. 2011 ; Vol. 226, No. 5. pp. 4131-4144.
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