Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Mapping of algebraic function to Riemann surface?

  1. Jun 22, 2013 #1
    When we map the algebraic function, [itex]w(z)[/itex], to a Riemann surface we essentially create a new "Riemann" coordinate system over a surface that is called the "algebraic function's Riemann surface".

    This mapping allows one to create single-valued functions, [itex]f(z,w),[/itex] of the coordinate points over this surface, including the underlying algebraic function [itex]f(z,w)=w[/itex], that are single-valued, analytic functions except at special points called singular points.

    May I ask what exactly is this type of mapping called?
    Last edited: Jun 22, 2013
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted