Lectures on Algebraic Geometry I

Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces

  • Günter Harder

Part of the Aspects of Mathematics book series (ASMA, volume 35)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Günter Harder
    Pages 11-33
  3. Günter Harder
    Pages 35-50
  4. Günter Harder
    Pages 51-178
  5. Günter Harder
    Pages 179-289
  6. Back Matter
    Pages 290-299

About this book

Introduction

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.

Keywords

Algebraische Geometrie Garbe (Math.) Homologische Algebra Kohomologie Kommutative Algebra Komplexe Analysis

Authors and affiliations

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

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-8348-8330-8
  • Copyright Information Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden 2011
  • Publisher Name Springer Spektrum, Wiesbaden
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-8348-1844-7
  • Online ISBN 978-3-8348-8330-8
  • Series Print ISSN 0179-2156
  • About this book
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