On metrics of curvature 1 with four conic singularities on tori and on the sphere

zbMath1366.30029arXiv1508.06510MaRDI QIDQ512475

Alexandre Eremenko, Andrei Gabrielov

Publication date: 27 February 2017

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.06510

zbMATH Keywords

complex linear differential equationsconformal metrics with conic singularities

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Elliptic functions and integrals (33E05) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (10)

Spherical rectangles ⋮ Circular pentagons and real solutions of Painlevé VI equations ⋮ Moduli of spherical tori with one conical point ⋮ Classification of generic spherical quadrilaterals ⋮ Spectral properties of reducible conical metrics ⋮ Irreducible cone spherical metrics and stable extensions of two line bundles ⋮ Rigidity of a family of spherical conical metrics ⋮ Spherical surfaces with conical points: systole inequality and moduli spaces with many connected components ⋮ The geometry of generalized Lamé equation. II: Existence of pre-modular forms and application ⋮ Existence and non-existence of solutions of the mean field equations on flat tori

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