  Let K be a complete discretely valued field with residue field k and F be a
function field of a curve over K. Let L/F be a Galois extension of degree n. If
n is coprime to char(k), then under some assumptions on k(e.g. k is
algebraically closed or a finite field) and on the geometry of the curve, we
show that there is a local-global principle with respect to discrete valuations
for the norms from the extension L/F.
