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Dessins dEnfants for Single-Cycle Belyi Maps

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 نشر من قبل Isabella Tobin
 تاريخ النشر 2019
  مجال البحث
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Riemanns Existence Theorem gives the following bijections: (1) Isomorphism classes of Belyi maps of degree $d$. (2) Equivalence classes of generating systems of degree $d$. (3) Isomorphism classes of dessins denfants with $d$ edges. In previous work, the first author and collaborators exploited the correspondence between Belyi maps and their generating systems to provide explicit equations for two infinite families of dynamical Belyi maps. We complete this picture by describing the dessins denfants for these two families.



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