Lectures on Algebraic Geometry I

Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces

  • Günter Harder

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Pages 35-50
  3. Pages 51-177
  4. Back Matter
    Pages 281-290

About this book


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.


Algebraische Geometrie Cohomology Garbe (Math.) Homological algebra Homologische Algebra Kohomologie Kommutative Algebra Komplexe Analysis Sheaf cohomology homology

Authors and affiliations

  • Günter Harder
    • 1
  1. 1.Max-Planck-Institute for MathematicsBonnGermany

Bibliographic information

  • DOI
  • Copyright Information Friedr. Vieweg & Sohn Verlag | GWV Fachverlage GmbH, Wiesbaden 2008
  • Publisher Name Vieweg+Teubner
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-528-03136-7
  • Online ISBN 978-3-8348-9501-1
  • Buy this book on publisher's site