Lectures on Algebraic Geometry I Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces /

• Main Author: Harder, Günter (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Wiesbaden : Vieweg+Teubner, 2008.
• Subjects: Mathematics.; Algebraic geometry.; Geometry.; 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...

Table of Contents:

• Categories, products, Projective and Inductive Limits
• Basic Concepts of Homological Algebra
• Sheaves
• Cohomology of Sheaves
• Compact Riemann surfaces and Abelian Varieties.