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 K 2-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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have