Riemann Surfaces - Couverture rigide

Farkas, Hershel M.; Kra, Irwin; Farakas, H.M.

Couverture rigide

ISBN 10 : 3540977031 ISBN 13 : 9783540977032

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1992

Synopsis

This text covers Riemann surface theory from elementary aspects to the frontiers of current research. Open and closed surfaces are treated with emphasis on the compact case. Basic tools are developed to describe the analytic, geometric and algebraic properties of Riemann surfaces and the Abelian varieties associated with these surfaces. Topics covered include existence of meromorphic functions, the Riemann-Roch theorem, Abel's theorem, the Jacobi inversion problem, Noether's theorem and the Reimann vanishing theorem. A complete treatment of the uniformization of Riemann surfaces via Fuchsian groups, including branched coverings, is presented. Alternate proofs for the most important results are included, showing the diversity of approaches to the subject.

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 1992
• Langue: anglais
• ISBN 10: 3540977031
• ISBN 13: 9783540977032
• Reliure: Relié
• Numéro d'édition: 2
• Nombre de pages: 379
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible