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Indecomposable and noncrossed product division algebras over function fields of smooth p-adic curves |
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| Authors: | E Brussel K McKinnie E Tengan |
| Institution: | aEmory University, Department of Mathematics and Computer Science, Atlanta, GA 30322, USA;bUniversity of Montana, Department of Mathematical Sciences, Missoula, MT 59801, USA;cUniversidade de São Paulo, Inst. de Ciências Matemáticas e de Computação, São Carlos, SP 13560-970, Brazil |
| 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  which splits  , where  is the completion of K(X) at the special fiber, and using it to lift indecomposable and noncrossed product division algebras over  . |
| Keywords: | Brauer groups Division algebras Noncrossed products Indecomposable division algebras Ramification Function fields of smooth curves |
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