The Red Book of Varieties and Schemes: Includes the Michigan Lectures (1974) on Curves and their Jacobians

Author:   E. Arbarello ,  David Mumford, QC
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2nd exp. ed. 1999
Volume:   1358
ISBN:  

9783540632931


Pages:   314
Publication Date:   17 September 1999
Format:   Paperback
Availability:   Out of print, replaced by POD   Availability explained
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The Red Book of Varieties and Schemes: Includes the Michigan Lectures (1974) on Curves and their Jacobians


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Overview

Mumford's famous Red Book gives a simple readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra. It is aimed at graduate students or mathematicians in other fields wishing to learn quickly what algebraic geometry is all about. This new edition also includes an overview of the theory of curves, their moduli spaces and their Jacobians, one of the most exciting fields within algebraic geometry. The book is aimed at graduate students and professors seeking to learni) the concept of ""scheme"" as part of their study of algebraic geometry and ii) an overview of moduli problems for curves and of the use of theta functions to study these.

Full Product Details

Author:   E. Arbarello ,  David Mumford, QC
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2nd exp. ed. 1999
Volume:   1358
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.30cm
Weight:   1.020kg
ISBN:  

9783540632931


ISBN 10:   354063293
Pages:   314
Publication Date:   17 September 1999
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

Varieties.- Preschemes.- Local properties of schemes.- References.- Appendix: Curves and their Jacobians.- Survey of work on the Schottky problem up to 1996 (by Enrico Arbarello).- References.- Guide to the Literature and References (Curves and Their Jacobians).- Supplementary Bibliography on the Schottky Problem.

Reviews

This is the second edition of a famous and well-known introduction to algebraic geometry, written to show that the language of schemes is fundamentally geometrical and clearly expressing the intuition of algebraic geometry. ... This book can strongly be recommended to anybody interested in algebraic geometry and willing to learn about varieties and schemes and their main problems. <br> EMS Newsletter, Vol. 37, Sept. 2000


""This is the second edition of a famous and well-known introduction to algebraic geometry, written to show that the language of schemes is fundamentally geometrical and clearly expressing the intuition of algebraic geometry. ... This book can strongly be recommended to anybody interested in algebraic geometry and willing to learn about varieties and schemes and their main problems."" EMS Newsletter, Vol. 37, Sept. 2000


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