Campos ciclot\'omicos, tercera versi\'on

TL;DR

This book provides an in-depth exploration of cyclotomic fields, function fields, and related algebraic structures, focusing on their elementary theory within the context of class field theory, primarily in Spanish.

Contribution

It offers a comprehensive, updated treatment of cyclotomic and abelian extensions, including new insights into genus fields and Drinfeld modules, in a Spanish-language text.

Findings

Detailed exposition of cyclotomic field theory

Introduction of new results on genus fields

Analysis of Drinfeld modules and p-extensions

Abstract

This book deals with the elementary theory of cyclotomic fields, cyclotomic function fields, abelian extensions, genus fields, $p$--extensions, Drinfeld modules and class field theory. The text is in Spanish.