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

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

Riemann surfaces is a thriving sector of arithmetic with functions to hyperbolic geometry, complicated research, fractal geometry, conformal dynamics, discrete teams, geometric workforce conception, algebraic curves and their moduli, different types of deformation concept, coding, thermodynamic formalism, and topology of 3-dimensional manifolds. This choice of articles, authored by way of best gurus within the box, contains sixteen expository essays featuring unique examine and specialist surveys of vital themes with regards to Riemann surfaces and their geometry. It enhances the physique of recorded examine awarded within the fundamental literature by means of broadening, re-working and increasing it in a extra targeted and not more formal framework, and gives a useful remark on modern paintings within the topic. An introductory part units the scene and offers adequate history to permit graduate scholars and study employees from different similar parts entry to the field.

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