Aspects of Mathematics: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces

Harder, Günter; Diederich, Klas

This book and the following second volume is an introduction into modern algebraic geometry. In the first volume the methods of homological algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also fundamental for other branches of mathematics and of great interest in their own.
In the last chapter of volume I these concepts are applied to the theory of compact Riemann surfaces. In this chapter the author makes clear how influential the ideas of Abel, Riemann and Jacobi were and that many of the modern methods have been anticipated by them.
For this second edition the text was completely revised and corrected. The author also added a short section on moduli of elliptic curves with N-level structures. This new paragraph anticipates some of the techniques of volume II.

Details

Published by: Springer Spektrum

Publication Date: 2013-11-07

Format: Paperback

ISBN-13: 9783834819925

DOI: 10.1007/978-3-8348-8330-8

Dimensions: 240cm x168cm

Pages: 301