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A Note on Class Field Theory for Two-Dimensional Local Rings
Published online by Cambridge University Press: 04 December 2007
Abstract
The class field theory for the fraction field of a two-dimensional complete normal local ring with finite residue field is established by S. Saito. In this paper, we investigate the index of the norm group in the K2-idele class group for a finite Abelian extension of such fields and deduce that the existence theorem does not hold for almost fields in this case.
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- Research Article
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- © 2000 Kluwer Academic Publishers
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