Indecomposable and noncrossed product division algebras over function fields of smooth p-adic curves

E. Brussel, K. McKinnie, E. Tengan

Research output: Contribution to journalArticlepeer-review

Abstract

We construct indecomposable and noncrossed product division algebras over function fields of connected smooth curves X over Zp. This is done by defining an index preserving morphism s:Br(K(X))'→Br(K(X))' which splits res:Br(K(X))→Br(K(X))', where K(X) is the completion of K(X) at the special fiber, and using it to lift indecomposable and noncrossed product division algebras over K(X).

Original languageEnglish
Pages (from-to)4316-4337
Number of pages22
JournalAdvances in Mathematics
Volume226
Issue number5
DOIs
StatePublished - Mar 20 2011

Keywords

  • Brauer groups
  • Division algebras
  • Function fields of smooth curves
  • Indecomposable division algebras
  • Noncrossed products
  • Ramification

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