|
Plane graphs: Parasitic solutions for system of equations on Belyi functions
by
Elena Kreines
The notion of parasitic solution of a system of equations on Belyi function for a given plane graph is introduced. Some classes of graphs that have no parasitic solutions are investigated. The geometrical meaning of parasitic solution is explained. We describe series of graphs that have parasitic solutions with geometrical meaning, some cases of graphs that have parasitic solutions without geometrical meaning and some extra examples of parasitic solutions depending on parameter.
Date received: November 3, 2000
Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafo-13.