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Red Book of Varieties and Schemes

Red Book of Varieties and Schemes - rev edition

ISBN13: 978-3540632931

Cover of Red Book of Varieties and Schemes REV 99 (ISBN 978-3540632931)
ISBN13: 978-3540632931
ISBN10: 354063293X Edition: REV 99
Copyright: 1999
Publisher: Springer-Verlag New York
Published: 1999
International: No

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Red Book of Varieties and Schemes - REV 99 edition

ISBN13: 978-3540632931

David Mumford

ISBN13: 978-3540632931
ISBN10: 354063293X Edition: REV 99
Copyright: 1999
Publisher: Springer-Verlag New York
Published: 1999
International: No
Summary

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. TOC: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.

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