Lectures on Algebraic Geometry I : Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces
Second überarb. Edition 2011
Book Details
Format
Hardback or Cased Book
Book Series
Aspects of Mathematics
ISBN-10
3834818445
ISBN-13
9783834818447
Edition
Second überarb. Edition 2011
Publisher
Springer Fachmedien Wiesbaden
Imprint
Vieweg+Teubner Verlag
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Sep 7th, 2011
Print length
301 Pages
Weight
708 grams
Dimensions
18.00 x 25.80 x 2.50 cms
Ksh 19,800.00
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This book and the following second volume is an introduction into modern algebraic geometry.
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.
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