On computations with dessins d’enfants

Kamalinejad, Ali; Shahshahani, Mehrdad

doi:10.1090/mcom/3110

On computations with dessins d’enfants
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by Ali Kamalinejad and Mehrdad Shahshahani PDF

Math. Comp. 86 (2017), 419-436 Request permission

Abstract:

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.

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