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Detalles bibliogr�ficos

T�tulo: Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces (Aspects of Mathematics), 2nd edition
Editor: U.S.A.: Springer Spektrum
Fecha de publicaci�n: 2011
Idioma: Ingl�s
ISBN 10: 3834818445
ISBN 13: 9783834818447
Encuadernaci�n: Soft cover
Edici�n: International Edition
Estado: New
Estado de la sobrecubierta: New

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Sinopsis

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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Prof. Dr. G�nter Harder, Max-Planck-Institute for Mathematics, Bonn

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