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Riemann Surfaces - Graduate Texts in Mathematics 71 (Hardback)
  • Riemann Surfaces - Graduate Texts in Mathematics 71 (Hardback)

Riemann Surfaces - Graduate Texts in Mathematics 71 (Hardback)

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Hardback 366 Pages / Published: 23/12/1991
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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.

Publisher: Springer-Verlag New York Inc.
ISBN: 9780387977034
Number of pages: 366
Weight: 1590 g
Dimensions: 235 x 155 x 22 mm
Edition: 2nd ed. 1992

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