FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2003, VOLUME 9, NUMBER 1, PAGES 103-111

On families of geometric parasitic solutions for Belyi systems of genus zero

E. M. Kreines

Abstract

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This paper is devoted to interrelations between the combinatorial structure of plane graphs and algebraic properties of systems of equations related to Belyi functions for these graphs. The main purpose is to describe some families of plane graphs possessing parasitic solutions and some families of plane graphs such that each solution of the corresponding systems is not parasitic and has multiplicity one.

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Last modified: April 4, 2004.