Lectures on Algebraic Geometry II

Basic Concepts, Coherent Cohomology, Curves and their Jacobians

  • Günter Harder

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Günter Harder
    Pages 1-53
  3. Günter Harder
    Pages 55-119
  4. Günter Harder
    Pages 121-182
  5. Günter Harder
    Pages 183-264
  6. Back Matter
    Pages 357-365

About this book

Introduction

In this second volume of "Lectures on Algebraic Geometry", the author starts with some foundational concepts in the theory of schemes and gives a somewhat casual introduction into commutative algebra. After that he proves the finiteness results for coherent cohomology and discusses important applications of these finiteness results. In the two last chapters, curves and their Jacobians are treated and some outlook into further directions of research is given.
The first volume is not necessarily a prerequisite for the second volume if the reader accepts the concepts on sheaf cohomology. On the other hand, the concepts and results in the second volume have been historically inspired by the theory of Riemann surfaces. There is a deep connection between these two volumes, in spirit they form a unity.


Basic concepts of the Theory of Schemes - Some Commutative Algebra - Projective Schemes - Curves and the Theorem of Riemann-Roch - The Picard functor for curves and Jacobians.

Prof. Dr. Günter Harder, Department of Mathematics, University of Bonn, and Max-Planck-Institute for Mathematics, Bonn, Germany.

Keywords

Algebraic Geometry Algebraische Geometrie Cohomology Kommutative Algebra Sheaves

Authors and affiliations

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

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-8348-8159-5
  • Copyright Information Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden 2011
  • Publisher Name Vieweg+Teubner
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-8348-0432-7
  • Online ISBN 978-3-8348-8159-5
  • About this book