Class Field Theory for $\Bbb F_q[[X_1,X_2,X_3]]$

J. Math. Sci. Univ. Tokyo
Vol. 9 (2002), No. 4, Page 689--746.

Matsumi, Pierre
Class Field Theory for $\Bbb F_q[[X_1,X_2,X_3]]$
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Abstract:


Keywords: class field theory, idele class group, reciprocity homomorphism, étale cohomology, Milnor $K$-group, Kato-filtration, Grothendieck duality, Hasse principle

Mathematics Subject Classification (1991): Primary 19E15; Secondary 11G25, 14C25
Mathematical Reviews Number: MR1947488

Received: 2000-06-14