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" Topics in the theory of algebraic function fields / "


Document Type : BL
Record Number : 700593
Doc. No : b522782
Uniform Title : Introducción a la teoría de las funciones algebraicas.English
Main Entry : Villa Salvador, Gabriel Daniel
Title & Author : Topics in the theory of algebraic function fields /\ Gabriel Daniel Villa Salvador
Publication Statement : Boston ;Berlin :: Birkhäuser,, 2006
Series Statement : Mathematics : theory & applications
Page. NO : xvi, 652 pages :: illustrations ;; 24 cm
ISBN : 0817644806
: : 9780817644802
Notes : Textbook for graduates
Bibliographies/Indexes : Includes bibliographical references (pages [639]-646) and index
Contents : Preface.- Algebraic and Numerical Antecedents.- Algebraic Function Fields of One Variable.- The Riemann-Roch Theorem.- Examples.- Extensions and Galois Theory.- Congruence Function Fields.- The Riemann Hypothesis.- Constant and Separable Extensions.- The Riemann-Hurwitz Formula.- Cryptography and Function Fields.- Introduction to Class Field Theory.- Cyclotomic Function Fields.- Drinfeld Modules.- Automorphisms and Galois Theory.- Appendix A: Cohomology of Groups.- Notations.- References.- Index
Abstract : Presents an examination that explains both the similarities and fundamental differences between function fields and number fields, including many exercises and examples. This book serves as a text for a graduate course in number theory or an advanced graduate topics course
Subject : Algebraic functions
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