Belyi Pairs and Fried Families


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For the rational functions on algebraic curves, the number of critical values typical for the Belyi functions is three. This number is replaced by four. The emerging objects, unlike the rigid Belyi pairs, can be deformed; they constitute one-parameter families. The main properties of the corresponding curves in the moduli spaces are established, and the relation of these curves to the Belyi pairs is considered. The case of the clean Belyi pairs of genus 2 of minimal degree 8 is analyzed.

Sobre autores

G. Shabat

Russian State University for the Humanities

Autor responsável pela correspondência
Email: george.shabat@gmail.com
Rússia, Miusskaya pl. 6, Moscow, 125993

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