The real hyper-elliptic subspaces of Teichmüller space and moduli space

DOI10.1007/s10473-019-0415-zzbMath1499.32029OpenAlexW2955140298MaRDI QIDQ2153112

Yi Qi, Guangming Hu

Publication date: 1 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-019-0415-z

zbMATH Keywords

Teichmüller spacemoduli spaceEDM rayreal hyper-elliptic subspaceStrebel ray

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Quasiconformal mappings in the complex plane (30C62)

Cites Work

• Examples of families of Strebel differentials on hyperelliptic curves
• Quadratic differentials and foliations
• Teichmüller geometry of moduli space. I: Distance minimizing rays and the Deligne-Mumford compactification
• The asymptotic geometry of Teichmüller space
• Degenerating families of Riemann surfaces
• The Jenkins Strebel differentials with one cylinder are dense
• Geometry of compactifications of locally symmetric spaces
• The eventually distance minimizing rays in moduli spaces
• Elementary construction of Jenkins-Strebel differentials
• Extremal Polynomials and Riemann Surfaces
• On behavior of pairs of Teichmüller geodesic rays
• The asymptotic behavior of Jenkins-Strebel rays
• Roots in the mapping class groups
• An example of a regular Strebel differential
• ON THE EXISTENCE OF JENKINS–STREBEL DIFFERENTIALS
• ON ARITHMETIC CURVES IN THE MODULI SPACES OF CURVES
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