Compact Riemann surfaces. An introduction to contemporary mathematics

zbMath0869.30001MaRDI QIDQ5921630

Juergen Jost

Publication date: 16 January 1997

Published in: Universitext (Search for Journal in Brave)

zbMATH Keywords

Riemann surfaceselliptic curvesuniformizationharmonic mapsalgebraic curvesquadratic differentialscompact Riemann surfacesRiemann-Roch theoremconformal structures

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) Riemann surfaces; Weierstrass points; gap sequences (14H55) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Riemann surfaces (30Fxx)

Related Items (15)

Complete constant Gaussian curvature surfaces in the Minkowski space and harmonic diffeomorphisms onto the hyperbolic plane ⋮ The grafting map of Teichmüller space ⋮ Minimal distortion morphs generated by time-dependent vector fields ⋮ Sheaves of nonlinear generalized functions and manifold-valued distributions ⋮ A new proof of the uniformization theorem ⋮ Asymptotics for minimizers of a Donaldson functional and mean curvature 1-immersions of surfaces into hyperbolic 3-manifolds ⋮ Riemann-Roch theorem and Kodaira-Serre duality ⋮ The Green's functions of the boundaries at infinity of the hyperbolic 3-manifolds ⋮ Edge statistics for Lozenge tilings of polygons. I: Concentration of height function on strip domains ⋮ Localised Wannier functions in metallic systems ⋮ Harmonic maps and wild Teichmüller spaces ⋮ Absolute uniqueness of minimal surfaces bounded by contours with a one-to-one projection onto a plane ⋮ Limits of harmonic maps and crowned hyperbolic surfaces ⋮ Superconformal harmonic surfaces in de Sitter space-times ⋮ A general conformal geometric reflection principle

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