Aspects of Mathematics

Lectures on Algebraic Geometry I

Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces

Authors: Harder, Günter

  • Algebraische Geometrie: Von Abel und Riemann bis heute

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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.

About the authors

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

Reviews

"No doubt, the great lucidity of exposition, the masterly style of writing, the broad spectrum of topics touched upon, and the purposeful, very special disposition of the subject matter make this text, together with its expected companion book(s), a very particular and outstanding enrichment of the existing textbook literature in algebraic geometry and its intimately related areas."
Zentralblatt MATH Zbl 1129.14001

Table of contents (5 chapters)

Buy this book

eBook $74.99
price for USA (gross)
  • ISBN 978-3-8348-8330-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-3-8348-1844-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-3-8348-1992-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Lectures on Algebraic Geometry I
Book Subtitle
Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces
Authors
Series Title
Aspects of Mathematics
Series Volume
35
Copyright
2011
Publisher
Springer Spektrum
Copyright Holder
Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden
eBook ISBN
978-3-8348-8330-8
DOI
10.1007/978-3-8348-8330-8
Hardcover ISBN
978-3-8348-1844-7
Softcover ISBN
978-3-8348-1992-5
Series ISSN
0179-2156
Edition Number
2
Number of Pages
XIII, 301
Topics