Lectures on Riemann Surfaces - Forster Otto
Lectures on Riemann Surfaces - Forster Otto This book grew out of lectures on Riemann surfaces which the author gave at the universities of Munich, Regensburg and Munster. The book is divided into…
Specifikacia Lectures on Riemann Surfaces - Forster Otto
Lectures on Riemann Surfaces - Forster Otto
This book grew out of lectures on Riemann surfaces which the author gave at the universities of Munich, Regensburg and Munster. The book is divided into three chapters. Its aim is to give an introduction to this rich and beautiful subject, while presenting methods from the theory of complex manifolds which, in the special case of one complex variable, turn out to be particularly elementary and transparent.
Then we construct the Riemann surfaces which arise via analytic continuation of function germs. In the first chapter we consider Riemann surfaces as covering spaces and develop a few basics from topology which are needed for this. In particular this includes the Riemann surfaces of algebraic functions.
As well we look more closely at analytic functions which display a special multi-valued behavior. Examples of this are the primitives of holomorphic i-forms and the solutions of linear
Riemann Surfaces
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