Abstract
For a Belyi function β: CP1 → CP1 ramified only over the points −1, 1, and ∞, a corresponding «dessin d’enfant» Dβ is defined as the set β-1([−1, 1]) considered as a bi-colored graph on the Riemann sphere whose white and black vertices are points of the sets β-1{−1} and β-1{1}, correspondingly. Merely the set β-1([−1, 1]) without a graph structure is called the support of Dβ.
Original language | English |
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Pages (from-to) | 189-196 |
Number of pages | 8 |
Journal | Fundamental and Applied Mathematics |
Volume | 25 |
Issue number | 2 |
State | Published - 1 Jan 2024 |
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Geometry and Topology
- Applied Mathematics