Constructing Strebel differentials via Belyi maps on the Riemann sphere

DOI10.1007/s40315-020-00302-3zbMath1441.14110arXiv1901.10774OpenAlexW3104529665MaRDI QIDQ2174780

Yanyan Li

Publication date: 27 April 2020

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.10774

zbMATH Keywords

Strebel differentialBelyi mapcone spherical metricDessin d'enfantmetric ribbon graph

Mathematics Subject Classification ID

Differentials on Riemann surfaces (30F30) Dessins d'enfants theory (14H57)

Cites Work

• On the existence of certain general extremal metrics
• Jenkins - Strebel differentials
• Intersection theory on the moduli space of curves and the matrix Airy function
• Ribbon graphs, quadratic differentials on Riemann surfaces, and algebraic curves defined over \(\overline{\mathbb Q}\)
• Periods of Strebel differentials and algebraic curves defined over the field of algebraic numbers.
• Cellular decompositions of compactified moduli spaces of pointed curves
• Drawing Cone Spherical Metrics via Strebel Differentials
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