Compact Riemann Surfaces

Raghavan Narasimhan and Yves Nievergelt
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Raghavan Narasimhan: University of Chicago, Department of Mathematics
Yves Nievergelt: Eastern Washington University, Department of Mathematics

Chapter Chapter 9 in Complex Analysis in One Variable, 2001, pp 161-185 from Springer

Abstract: 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 geometry.

Keywords: Banach Space; Riemann Surface; Meromorphic Function; Open Covering; Compact Riemann Surface (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-1-4612-0175-5_9

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