Mapping of algebraic function to Riemann surface?

  • Thread starter jackmell
  • Start date
  • #1
1,796
53

Main Question or Discussion Point

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:

Answers and Replies

Related Threads for: Mapping of algebraic function to Riemann surface?

  • Last Post
Replies
7
Views
3K
  • Last Post
Replies
1
Views
4K
Replies
2
Views
2K
Replies
7
Views
3K
  • Last Post
Replies
1
Views
1K
Replies
2
Views
1K
Replies
9
Views
1K
  • Last Post
Replies
6
Views
773
Top