2 papers
math.NT2019
Dessins d'Enfants for Single-Cycle Belyi Maps
Michelle Manes, Gabrielle Melamed, Bella Tobin
Riemann's Existence Theorem gives the following bijections: (1) Isomorphism classes of Belyi maps of degree . (2) Equivalence classes of generating systems of degree . (3) Is…
math.NT2018
Shabat Polynomials and Monodromy Groups of Trees Uniquely Determined by their Passport
Naiomi Cameron, Mary Kemp, Susan Maslak +4
A dessin d'enfant, or dessin, is a bicolored graph embedded into a Riemann surface. Acyclic dessins can be described analytically by pre-images of certain polynomials, called Shaba…