Proceedings of the Japan Academy Series A Mathematical Sciences · 1978 · 56 citations · 2 references
Natural SciencesMathematicsField PhenotypingLocal TaxationNumber TheoryAbstract AlgebraClass Field TheoryGroup TheoryLocal FieldsComplete Discrete Valued FieldsIdèle Class GroupIdèle TheoryLocal Class Field Theory
In 1, we study abelian extensions of complete discrete valuation fields whose residue fields are function fields in one variable over finite fields. In 2, we give a generalization of the result of Part I (K. Kato [5]). The detail will appear elsewhere. Some similar results were obtained independently by A. N. Parsin [8].
2
AlgebraicK-theory and quadratic forms
John Milnor · Inventiones mathematicae · 1970 · 541 citations