
doi: 10.1090/mcom/3110
The geometric theory of dessins d’enfants is used to make explicit calculations on curves. In particular, an algorithmic procedure for the construction of ramified covering of curves over number fields with prescribed ramifications and for the explicit construction of Jenkins-Strebel differentials are developed.
Jenkins-Strebel differentials, Computational aspects of algebraic curves, Coverings of curves, fundamental group, Arithmetic aspects of dessins d'enfants, Belyĭ theory, Elliptic curves, Dessins d'enfants theory, ramified covering, dessins d'enfants
Jenkins-Strebel differentials, Computational aspects of algebraic curves, Coverings of curves, fundamental group, Arithmetic aspects of dessins d'enfants, Belyĭ theory, Elliptic curves, Dessins d'enfants theory, ramified covering, dessins d'enfants
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