Indecomposable and noncrossed product division algebras over function fields of smooth p-adic curves
Rings and Algebras
2010-11-24 v2 Algebraic Geometry
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).
Keywords
Cite
@article{arxiv.0907.0670,
title = {Indecomposable and noncrossed product division algebras over function fields of smooth p-adic curves},
author = {Eric Brussel and Kelly McKinnie and Eduardo Tengan},
journal= {arXiv preprint arXiv:0907.0670},
year = {2010}
}
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22 pages