The Uniformization Theorem

Peter V. Dovbush and Steven G. Krantz
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Peter V. Dovbush: Moldova State University, Institute of Mathematics and Computer Science
Steven G. Krantz: Washington University in St. Louis, Mathematics, CB 1146

Chapter Chapter 9 in The Geometric Theory of Complex Variables, 2025, pp 173-194 from Springer

Abstract: Abstract Classical uniformization theory, developed mainly during the last two decades of the nineteenth century and the first decade of the twentieth, was concerned with proving that every algebraic or analytic curve can be uniformized, that is, represented parametrically by single-valued (or “uniform”) functions.

Date: 2025
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DOI: 10.1007/978-3-031-77204-7_9

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