Constructing Strebel differentials via Belyi maps on the Riemann sphere

Published 30 Jan 2019 in math.CV | (1901.10774v1)

Abstract: In this manuscript, by using Belyi maps and dessin d'enfants, we construct some concrete examples of Strebel differentials with four double poles on the Riemann sphere. As an application, we could give some explicit cone spherical metrics on the Riemann sphere.

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