+A Riemann surface is a one-dimensional complex manifold, a shape where every small piece looks like a flat complex plane. They provide a natural setting for studying [Complex Functions](/wiki/complex_function) and visualizing multi-valued relations, like the [Logarithm](/wiki/logarithm) function, as single-valued functions on a branched surface.
+## See also
+- [Complex Analysis](/wiki/complex_analysis)
+- [Manifold](/wiki/manifold)
+- [Topology](/wiki/topology)