Sheaves, cohomology of sheaves, and applications to Riemann surfaces
著者
書誌事項
Sheaves, cohomology of sheaves, and applications to Riemann surfaces
（Aspects of mathematics = Aspekte der Mathematik, E35 . Lectures on algebraic geometry ; 1）
Vieweg+Teubner, 2011
2nd rev. ed
- : pbk
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注記
Includes bibliographical references (p. 290-292) and index
Softcover reprint of the hardcover 2nd edition 2012
内容説明・目次
内容説明
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.
目次
Categories, Products, Projective and Inductive Limits - Basic Concepts of Homological Algebra - Sheaves - Cohomology of Sheaves - Compact Riemann surfaces and Abelian Varieties
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