Authors:
- Algebraische Geometrie:
- Von Abel und Riemann
Part of the book series: Aspects of Mathematics (ASMA, volume 35)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
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.
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.
Reviews
Zentralblatt MATH Zbl 1129.14001
Authors and Affiliations
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Max-Planck-Institute for Mathematics, Bonn, Germany
Günter Harder
Bibliographic Information
Book Title: Lectures on Algebraic Geometry I
Book Subtitle: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces
Authors: Günter Harder
Series Title: Aspects of Mathematics
DOI: https://doi.org/10.1007/978-3-8348-8330-8
Publisher: Springer Spektrum Wiesbaden
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden 2011
Hardcover ISBN: 978-3-8348-1844-7Published: 07 September 2011
Softcover ISBN: 978-3-8348-1992-5Published: 07 November 2013
eBook ISBN: 978-3-8348-8330-8Published: 15 September 2011
Series ISSN: 0179-2156
Edition Number: 2
Number of Pages: XIII, 301