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”.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1979 Springer Science+Business Media New York
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-1-4757-5673-9_1
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-5675-3
Online ISBN: 978-1-4757-5673-9
eBook Packages: Springer Book Archive