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

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

2009-07-03

arxiv.org/abs/0907.0670v2

Mathematics

Rings and Algebras

22 pages

Scientific paper

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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