ENGLISH

An Introduction to Riemann Surfaces

Book information

Publisher
Birkhäuser Basel
Year
2012
ISBN
978-0-8176-4692-9, 978-0-8176-4693-6
DOI
10.1007/978-0-8176-4693-6
Language
english
Format
PDF
Filesize
5 MB (4796644 bytes)
Series
Cornerstones
Edition
1
Pages
560\562
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00

Description

This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the so-called L2 $\bar{\delta}$-method. This method is a powerful technique from the theory of several complex variables, and provides for a unique approach to the fundamentally different characteristics of compact and noncompact Riemann surfaces. The inclusion of continuing exercises running throughout the book, which lead to generalizations of the main theorems, as well as the exercises included in each chapter make this text ideal for a one- or two-semester graduate course. The prerequisites are a working knowledge of standard topics in graduate level real and complex analysis, and some familiarity of manifolds and differential forms.

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