Local Fields and Their ExtensionsThis edition incorporates improvements to the first edition, with 60 additional pages reflecting several aspects of the developments in local number theory. The volume consists of four parts: elementary properties of local fields, class field theory for various types of local fields and generalizations, explicit formulas for the Hilbert pairing, and Milnor $K$-groups of fields and of local fields. The first three parts essentially simplify, revise, and update the first edition. |
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Local Fields and Their Extensions: Second Edition Ivan B. Fesenko,S. V. Vostokov Limited preview - 2002 |