Harder / Dietrich Lectures on Algebraic Geometry I
2008
ISBN: 978-3-8348-9501-1
Verlag: Vieweg & Teubner
Format: PDF
Kopierschutz: 1 - PDF Watermark
Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces
E-Book, Englisch, 300 Seiten, eBook
Reihe: Aspects of Mathematics
ISBN: 978-3-8348-9501-1
Verlag: Vieweg & Teubner
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Prof. Dr. Günter Harder, Max-Planck-Institute for Mathematics, Bonn
Zielgruppe
Research
Weitere Infos & Material
1;Preface;5
2;Contents;7
3;Introduction;12
4;1 Categories, Products, Projective and Inductive Limits;14
5;2 Basic Concepts of Homological Algebra;24
6;3 Sheaves;47
7;4 Cohomology of Sheaves;63
8;5 Compact Riemann surfaces and Abelian Varieties;190
9;Bibliography;292
10;Index;295
Categories, products, Projective and Inductive Limits.- Basic Concepts of Homological Algebra.- Sheaves.- Cohomology of Sheaves.- Compact Riemann surfaces and Abelian Varieties.
