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Compact Riemann Surfaces

  • Raghavan Narasimhan

Abstract

In this chapter, we introduce Riemann surfaces and prove an important theorem which asserts that meromorphic functions on a compact Riemann surface form an algebraic function field in one variable (see § 6). The chapter is meant to serve as an introduction to some tools which have proved to be very useful in several branches of mathematics, in particular, in several complex variables and algebraic geometriy.

Keywords

Banach Space Riemann Surface Meromorphic Function Open Covering Compact Riemann Surface 
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Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • Raghavan Narasimhan
    • 1
  1. 1.Department of MathematicsThe University of ChicagoChicagoUSA

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