Lectures on Algebraic Geometry I

Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces

By:

Gunter Harder

Format:

Hardback

Series:

Aspects of Mathematics

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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.

Author Biography:

Prof. Dr. Gunter Harder, Max-Planck-Institute for Mathematics, Bonn

Release date Australia

September 7th, 2011

Author

Gunter Harder

Audience

Undergraduate

Contributor

Series edited by Hatlapa Dietrich

Country of Publication

Germany

Edition

2nd Revised edition

Illustrations

biography

Imprint

Vieweg+teubner Verlag

Pages

314

Publisher

Springer Fachmedien Wiesbaden

Series

Aspects of Mathematics

Dimensions

168x240x23

ISBN-13

9783834818447

Product ID

19012512

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