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On computations with dessins d'enfants

Kamalinejad, A ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1090/mcom/3110
  3. Abstract:
  4. 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. © 2016 American Mathematical Society
  5. Keywords:
  7. Source: Mathematics of Computation ; Volume 86, Issue 303 , 2017 , Pages 419-436 ; 00255718 (ISSN)
  8. URL: http://www.ams.org/journals/mcom/2017-86-303/S0025-5718-2016-03110-5/S0025-5718-2016-03110-5.pdf