Abstract
The goal of this book is to present local class field theory from the cohomological point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. This theory is about extensions—primarily abelian—of “local” (i.e., complete for a discrete valuation) fields with finite residue field. For example, such fields are obtained by completing an algebraic number field; that is one of the aspects of “localisation”.
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© 1979 Springer Science+Business Media New York
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Serre, JP. (1979). Introduction. In: Local Fields. Graduate Texts in Mathematics, vol 67. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-5673-9_1
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DOI: https://doi.org/10.1007/978-1-4757-5673-9_1
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