Topics in the theory of algebraic function fields

The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory. This text adopts the latter perspective by applying an arithmetic-algebraic viewpoint to the study of function fields as part of the algebraic theory of...

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Bibliografiske detaljer
Hovedforfatter: Villa Salvador, Gabriel Daniel, 19..-
Format: Livre numérique
Sprog:Anglais
Udgivet: Boston, MA : Birkhäuser Boston [20..].
Cham : Springer Nature
Udgivelse:1st ed. 2006.
Serier:Mathematics: theory & applications
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Kommentar: Description d'après consultation du 29 avril 2011
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"Based on the original Spanish edition, Introducción a la teoría de las functiones algebraicas, fondo de cultura economica, Mexico, 2003"
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Topics in the theory of algebraic function fields, Gabriel Daniel Villa Salvador, Boston, Birkhäuser, 2006, 1 vol. (XVI-652 p.), Mathematics, 0-8176-4480-6
Indholdsfortegnelse:
  • 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 to Class Field Theory Cyclotomic Function Fields Drinfeld Modules Automorphisms and Galois Theory.