Geometry and topology

The computation of megamaps

B. S. Bychkov

National Research University "Higher School of Economics"

Abstract: Here we compute some dessins d'enfants, corresponding to the strata of dimension 1 in the spaces of the rational functions of degree less than 6 on the curves of genus 0, 1, 2.

Keywords: megamap, dessin d'enfant, Beliy function, ramified covering, braid group.

UDC: 512.7

MSC: 14H30, 14H57

Received October 1, 2012, published February 28, 2013