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arXiv · 0907.0670

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

Eric Brussel·Kelly McKinnie·Eduardo Tengan
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Abstract

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

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Eric Brussel, Kelly McKinnie, Eduardo Tengan. 2010-11-23. Indecomposable and noncrossed product division algebras over function fields of smooth p-adic curves. https://arxiv.org/abs/0907.0670

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