2010/04/22 by Feng Chen, Chen, Feng
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA
paper · pdf · doi:10.48550/arxiv.1004.3935
arxiv created 2010/04/22 · openalex publication_date 2010/04/22 · arxiv updated 2010/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let T be a complete discrete valuation ring and X a smooth projective curve over S=\spec(T) with closed fibre X. Denote by F the function field of X and by F the completion of F with respect to the discrete valuation defined by X, the closed fibre. In this paper, we construct indecomposable and noncrossed product division algebras over F. This is done by defining an index preserving group homomorphism s:\br(F)'→\br(F)', and using it to lift indecomposable and noncrossed product division algebras over F.