Overview
- David Mumford's first work in schemes was established in the literature as the Red Book long before it was formally published.
- It is still a standard, much-used reference on this subject.
- As a result it has been reprinted several times.
- This 2nd edition is augmented by another well-known, but now unavailable text of the author "Curves and their Jacobians" (62 pp)
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1358)
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About this book
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 learn
i) 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.
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 learn
i) 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.
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Table of contents (7 chapters)
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Front Matter
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Back Matter
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."
EMS Newsletter, Vol. 37, Sept. 2000
EMS Newsletter, Vol. 37, Sept. 2000
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Bibliographic Information
Book Title: The Red Book of Varieties and Schemes
Book Subtitle: Includes the Michigan Lectures (1974) on Curves and their Jacobians
Authors: David Mumford
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/b62130
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1999
Softcover ISBN: 978-3-540-63293-1Published: 17 September 1999
eBook ISBN: 978-3-540-46021-3Published: 21 February 2004
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 2
Number of Pages: X, 314
Topics: Algebraic Geometry