Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces (Aspects of Mathematics, 35)

Harder, Günter

ISBN 10: 3834818445 / ISBN 13: 9783834818447

Published by Springer Spektrum, 2011

About this Item

Seller Inventory # I-9783834818447

Bibliographic Details

• Title: Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces (Aspects of Mathematics, 35)
• Publisher: Springer Spektrum
• Publication Date: 2011
• Language: English
• ISBN 10: 3834818445
• ISBN 13: 9783834818447
• Binding: Hardcover
• Edition: 2nd Edition
• Condition: New

About this title

Synopsis

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.

About the Author

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