This volume introduces some recent developments in Arithmetic Geometry over local fields. Its seven chapters are centered around two common themes: the study of

The goal of this book is to present local class field theory from the cohomo logical point of view, following the method inaugurated by Hochschild and developed

This book offers a modern exposition of the arithmetical properties of local fields using explicit and constructive tools and methods. It has been ten years sin

Translation of the French Edition

This volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains