Geometry of Riemann Surfaces (London Mathematical Society by Frederick P. Gardiner,Gabino González-Diez,Christos PDF

By Frederick P. Gardiner,Gabino González-Diez,Christos Kourouniotis

Riemann surfaces is a thriving sector of arithmetic with functions to hyperbolic geometry, advanced research, fractal geometry, conformal dynamics, discrete teams, geometric staff idea, algebraic curves and their moduli, different types of deformation concept, coding, thermodynamic formalism, and topology of 3-dimensional manifolds. This selection of articles, authored by way of prime specialists within the box, includes sixteen expository essays providing unique examine and professional surveys of vital subject matters on the topic of Riemann surfaces and their geometry. It enhances the physique of recorded examine offered within the basic literature by way of broadening, re-working and lengthening it in a extra centred and not more formal framework, and gives a necessary observation on modern paintings within the topic. An introductory part units the scene and offers adequate heritage to permit graduate scholars and study employees from different similar parts entry to the field.

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