Riemann Surfaces: 71 (Graduate Texts in Mathematics) - Hardcover

Farkas, Hershel M.; Kra, Irwin

Hardcover

ISBN 10: 0387977031 ISBN 13: 9780387977034

Verlag: Springer, 1991

Inhaltsangabe

Book by Farkas Hershel M Kra Irwin

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Reseña del editor:

This text covers Riemann surface theory from elementary aspects to the fontiers of current research. Open and closed surfaces are treated with emphasis on the compact case, while basic tools are developed to describe the analytic, geometric, and algebraic properties of Riemann surfaces and the associated Abelian varities. Topics covered include existence of meromorphic functions, the Riemann-Roch theorem, Abel's theorem, the Jacobi inversion problem, Noether's theorem, and the Riemann vanishing theorem. A complete treatment of the uniformization of Riemann sufaces via Fuchsian groups, including branched coverings, is presented, as are alternate proofs for the most important results, showing the diversity of approaches to the subject. Of interest not only to pure mathematicians, but also to physicists interested in string theory and related topics.

Über diese Auflage

• Verlag: Springer
• Erscheinungsdatum: 1991
• ISBN 10: 0387977031
• ISBN 13: 9780387977034
• Einband: Tapa dura
• Auflage: 2
• Anzahl der Seiten: 388