Indecomposable and noncrossed product division algebras over function fields of smooth \(p\)-adic curves.

DOI10.1016/j.aim.2010.12.005zbMath1253.16019arXiv0907.0670OpenAlexW1981246044MaRDI QIDQ631812

Kelly McKinnie, Eric S. Brussel, Eduardo Tengan

Publication date: 14 March 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.0670

zbMATH Keywords

Brauer groupsexponentsperiodsindicesramificationnoncrossed productsindecomposable division algebrasfunction fields of smooth curvesnon-crossed product central division algebrastensor products of central algebras

Mathematics Subject Classification ID

Finite-dimensional division rings (16K20) Brauer groups (algebraic aspects) (16K50) Skew fields, division rings (12E15) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items

Galois subfields of tame division algebras., On integral points on degree four del Pezzo surfaces, Indecomposability and cyclicity in the p-primary part of the Brauer group of a p-adic curve, Tame division algebras of prime period over function fields of \(p\)-adic curves., Open problems on central simple algebras., Formal constructions in the Brauer group of the function field of a 𝑝-adic curve

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