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Holomorphic Dynamics on Hyperbolic Riemann Surfaces

The first part of the book studies pseudo-periodic maps of a closed surface of genus greater than or equal to two. This class of homeomorphisms was originally introduced by J. Nielsen in 1944 as an...

Review of the deformation theory of compact complex manifolds.- Structure of Hol(V, ?1).- Rn(V) for n?g.- Families of holomorphic maps of compact complex manifolds.- Families of effective divisors ...

Intended for a one year course, this text serves as a single source, introducing readers to the important techniques and theorems, while also containing enough background on advanced topics to appe...

The book focuses on the educational perspective of Riemann-Roch spaces and the computation of algebraic structures connected to the Riemann-Roch theorem, which is a useful tool in fields of complex...

This established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry. It offers insight into a wide range of topics,...

From the preface:Many years have passed since the first edition. However, the encouragements of various readers and friends have persuaded us to write this third edition. During these years, Rieman...

I. Überlagerungen.- § 1. Definition der Riemannschen Flächen.- § 2. Einfache Eigenschaften holomorpher Abbildungen.- § 3. Homotopie von Kurven. Fundamentalgruppe.- § 4. Verzweigte und unverzweigte ...

This monograph deals with recent questions of conformal geometry. It provides in detail an approach to studying moduli spaces of conformal structures, using a new canonical metric for conformal str...

This book is devoted to Hilbert's 21st problem (the Riemann-Hilbert problem) which belongs to the theory of linear systems of ordinary differential equations in the complex domain. The problem conc...

Quantum Riemannian Geometry

This book is based on the experience of teaching the subject by the author in Russia, France, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook span...

Selbstanzeige (Disquisitiones generales circa superficies curvas) [58, S. 341-347].- Allgemeine Flächentheorie (Disquisitiones generales circa superficies curvas) [65, S. 1-51].- Ueber die Hypothes...

This book presents complex analysis of several variables from the point of view of the Cauchy-Riemann equations and integral representations. A more detailed description of our methods and main res...

In this monograph on twistor theory and its applications to harmonic map theory, a central theme is the interplay between the complex homogeneous geometry of flag manifolds and the real homogeneous...