Rational maps as Schwarzian primitives

DOI10.1007/s11425-016-5140-7zbMath1352.30027arXiv1511.04246OpenAlexW3099754033MaRDI QIDQ310202

Lei Tan, Hans Henrik Rugh, Guizhen Cui, Yan Gao

Publication date: 8 September 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04246

zbMATH Keywords

Schwarzian derivativemeromorphic functions, quadratic differentials

Mathematics Subject Classification ID

Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (4)

Meromorphic functions with three radially distributed values ⋮ Schwarzian Versus a Family of Moving Parabolic Points ⋮ ODE/IQFT correspondence for the generalized affine \(\mathfrak{sl} (2)\) Gaudin model ⋮ Fuchsian equations with three non-apparent singularities

Uses Software

• MathOverflow

Cites Work

• Catalan numbers and branched coverings by the Riemann sphere
• Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry
• Rational functions with prescribed critical points.
• The Wronski map and Grassmannians of real codimension 2 subspaces.
• An Elementary Proof of the B. and M. Shapiro Conjecture for Rational Functions
• On Thurston's pullback map
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