Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and their Jacobians

Author:   Günter Harder ,  Klas Diederich
Publisher:   Springer Fachmedien Wiesbaden
Edition:   2011 ed.
Volume:   39
ISBN:  

9783834804327


Pages:   365
Publication Date:   05 April 2011
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and their Jacobians


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Overview

This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved. Finally, the author gives some outlook into further developments- for instance etale cohomology- and states some fundamental theorems.

Full Product Details

Author:   Günter Harder ,  Klas Diederich
Publisher:   Springer Fachmedien Wiesbaden
Imprint:   Vieweg+Teubner Verlag
Edition:   2011 ed.
Volume:   39
Dimensions:   Width: 16.80cm , Height: 2.60cm , Length: 24.00cm
Weight:   0.890kg
ISBN:  

9783834804327


ISBN 10:   3834804320
Pages:   365
Publication Date:   05 April 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.
Language:   English

Table of Contents

Basic concepts of the Theory of Schemes - Some Commutative Algebra - Projective Schemes - Curves and the Theorem of Riemann-Roch - The Picard functor for curves and Jacobians

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

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