Dessins D’Enfants on Reducible Surfaces

Authors

  • Natalia Ya. Amburg Faculty of Mathematics National Research University Higher School of Economics Moscow, 119048
  • Elena M. Kreines Ben Gurion University of Negev Beer-Sheva, 8410501 Israel
  • George B. Shabat George B. Shabat Russian State University for the Humanities Moscow, 125047

DOI:

https://doi.org/10.5644/SJM.20.01.07

Keywords:

dessins d'enfants, Belyi pairs, Fried pairs, reducible curves

Abstract

In this paper we introduce dessins d'enfants on unions of surfaces, possibly glued. We show why they are natural, discuss their relations with Belyi pairs on reducible curves and provide some examples. In particular, we provide an example of a Fried pair which degenerates to a dessin on a reducible and singular curve.

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References

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Published

02.08.2024

How to Cite

Ya. Amburg, N. ., M. Kreines, E., & B. Shabat, G. . (2024). Dessins D’Enfants on Reducible Surfaces. Sarajevo Journal of Mathematics, 20(1), 71–86. https://doi.org/10.5644/SJM.20.01.07

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