ENGLISH

Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces

By Günter Harder , Klas Diederich

Book information

Publisher
Vieweg
Year
2011
ISBN
3834818445, 9783834818447
Language
english
Format
PDF
Filesize
2 MB (1765119 bytes)
Series
Aspects of Mathematics
Edition
2nd überarb. ed. 2011
Pages
314\314
Library
Kolxo3
Time added
2012-08-21 20:00:00

Description

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.

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