Morningside Center of Mathematics
Chinese Academy of Sciences
Morningside Center of Mathematics
Chinese Academy of Sciences
Title: | Cyclicity of central simple algebras over fraction fields of two-dimensional local rings |
Speaker: | 胡勇 (University Caen) |
Time: | 2015-7-27, 15:30-16:30 |
Place: | |
Abstract: | Let K be the fraction field of a two-dimensional complete local domain with finite residue field F, and \ell a prime number different from char(F). Let A be a central simple K-algebra whose Brauer class [A] is of order \ell. We show that the cyclicity of [A] can be tested over local completions of K. |
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