Topics in the theory of algebraic function fields /
General Material Designation
[Book]
First Statement of Responsibility
Gabriel Daniel Villa Salvador
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Berlin :
Name of Publisher, Distributor, etc.
Birkhäuser,
Date of Publication, Distribution, etc.
2006
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xvi, 652 pages :
Other Physical Details
illustrations ;
Dimensions
24 cm
SERIES
Series Title
Mathematics : theory & applications
GENERAL NOTES
Text of Note
Textbook for graduates
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages [639]-646) and index
CONTENTS NOTE
Text of Note
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
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SUMMARY OR ABSTRACT
Text of Note
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
UNIFORM TITLE
General Material Designation
Introducción a la teoría de las funciones algebraicas.