The Riemann Surface

  • Serge Lang
Part of the Graduate Texts in Mathematics book series (GTM, volume 89)


The purpose of this chapter is to show how to give a structure of analytic manifold to the set of points on a curve in the complex numbers, but our treatment also applies to more general fields like p-adic numbers. We are principally interested in the complex case, in order to derive the Abel-Jacobi theorem in the next chapter.


Riemann Surface Meromorphic Function Valuation Ring Analytic Manifold Topological Isomorphism 
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Copyright information

© Springer-Verlag New York Inc. 1972

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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