An Introduction To Riemann Surfaces, Algebraic Curves And Moduli Spaces Av Martin Schlichenmaier

Takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical intuition about surfaces, integration, and other concepts can be brought into play. This book covers Riemann surfaces,...

The theory relating algebraic curves and Riemann surfaces exhibits the unity of mathematics: topology, complex analysis, algebra and geometry all interact in a deep way.

Covers the classical theory of abstract Riemann surfaces. This book presents the requisite function theory and topology for Riemann surfaces. It also covers differentials and uniformization. For compact Riemann surfaces, it features topics such as divisors,...

<P>This book grew out of lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and M¿nster. It provides a concise modern introduction to this rewarding subject, as well as presenting methods used in the study...