Brauer-Manin obstruction to the local-global principle for the embedding problem

Ambrus Pál*, Tomer M. Schlank

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We study an analogue of the Brauer-Manin obstruction to the local-global principle for embedding problems over global fields. We will prove the analogues of several fundamental structural results. In particular we show that the (algebraic) Brauer-Manin obstruction is the only one to strong approximation when the embedding problem has abelian kernel.

Original languageAmerican English
Pages (from-to)1535-1565
Number of pages31
JournalInternational Journal of Number Theory
Volume18
Issue number7
DOIs
StatePublished - 1 Aug 2022

Bibliographical note

Publisher Copyright:
© 2022 World Scientific Publishing Company.

Keywords

  • Brauer-Manin obstruction
  • Embedding problems
  • local-global principle

Fingerprint

Dive into the research topics of 'Brauer-Manin obstruction to the local-global principle for the embedding problem'. Together they form a unique fingerprint.

Cite this