黎曼曲面Riemann Surface
A Riemann surface is a surface-like configuration that covers the complex plane with several, and in general infinitely many, “sheets.” These sheets can have very complicated structures and interconnections (Knopp 1996,
pp. 98-99). Riemann surfaces are one way of representing multiple-valued
functions; another is branch cuts. The above plot shows Riemann surfaces for solutions of the equation
黎曼曲面是一种类似于曲面的结构，它覆盖了多个，通常是无限多个的“片”。这些片可以有非常复杂的结构和相互连接（Knopp 1996，pp.98-99）。Riemann曲面是表示多值函数（功能）的一种方法；另一种是分支切割。上图显示了方程解的黎曼曲面。
其中d=2, 3, 4, and 5, where w(z) is the Lambert W-function (M. Trott).
The Riemann surface S of the function field K is the set of nontrivial
discrete valuations on K. Here, the se
