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Lectures on Algebraic Geometry I - Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces (Hardcover, 2nd Revised edition)
Loot Price: R3,673
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Lectures on Algebraic Geometry I - Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces (Hardcover, 2nd Revised edition)
Series: Aspects of Mathematics, 35
Expected to ship within 10 - 15 working days
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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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