
Lectures on Algebraic Geometry I
Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces
Günter Harder(Author)
Vieweg+Teubner Verlag
Published on 12. December 2007
Book
Hardback
VIII, 300 pages
978-3-528-03136-7 (ISBN)
Article exhausted; check for reprint
Description
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.
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.
Reviews / Votes
"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
More details
Series
Edition
2008
Language
English
Place of publication
Wiesbaden
Germany
Publishing group
Vieweg & Teubner
Target group
Research
Product notice
sewn/stitched
Cloth over boards
Dimensions
Height: 24 cm
Width: 17 cm
Weight
622 gr
ISBN-13
978-3-528-03136-7 (9783528031367)
DOI
10.1007/978-3-8348-9501-1
Schweitzer Classification
Other editions
New editions

Günter Harder
Lectures on Algebraic Geometry I
Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces
Book
09/2011
2nd Edition
Springer Spektrum
€139.09
Shipment within 10-15 days
Additional editions

Günter Harder
Lectures on Algebraic Geometry I
Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces
E-Book
08/2008
1st Edition
Vieweg+Teubner Verlag
€54.99
Available for download
Persons
Prof. Dr. Günter Harder, Max-Planck-Institute for Mathematics, Bonn
Content
Categories, Products, Projective and Inductive Limits - Basic Concepts of Homological Algebra - Presheaves and Sheaves - Cohomology of Sheaves - Compact Riemann surfaces and Abelian Varieties