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Explicit Reciprocity Laws For Higher Local Fields, Jorge Florez
Explicit Reciprocity Laws For Higher Local Fields, Jorge Florez
Dissertations, Theses, and Capstone Projects
In this thesis we generalize to higher dimensional local fields the explicit reciprocity laws of Kolyvagin for the Kummer pairing associated to a formal group. The formulas obtained describe the values of the pairing in terms of multidimensional p-adic differentiation, the logarithm of the formal group, the generalized trace and the norm on Milnor K-groups.