Günter Harder

Lectures on Algebraic Geometry I (eBook, PDF)

Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Fachmedien Wiesbaden
• Seitenzahl: 301
• Erscheinungstermin: 15. September 2011
• Englisch
• ISBN-13: 9783834883308
• Artikelnr.: 37400052

Autorenporträt

Prof. Dr. Günter Harder, Max-Planck-Institute for Mathematics, Bonn

Inhaltsangabe

Aus dem Inhalt:
Categories, Products, Projective and Inductive Limits
- Basic Concepts of Homological Algebra
- Presheaves and Sheaves
- Cohomology of Sheaves
- Compact Riemann surfaces and Abelian Varieties

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

Rezensionen

"No doubt, the great lucidity of exposition, the masterly style of writing, the broad spectrum of topics touched upon, and the purposeful, very special disposition of the subject matter make this text, together with its expected companion book(s), a very particular and outstanding enrichment of the existing textbook literature in algebraic geometry and its intimately related areas."
Zentralblatt MATH Zbl 1129.14001