
The Red Book of Varieties and Schemes
Includes the Michigan Lectures (1974) on Curves and their Jacobians
David Mumford(Author)
Springer (Publisher)
2nd Edition
Published on 17. September 1999
Book
Paperback/Softback
X, 314 pages
978-3-540-63293-1 (ISBN)
Description
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.
Reviews / Votes
"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
More details
Series
Edition
Second Edition 1999
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
X, 314 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 18 mm
Weight
493 gr
ISBN-13
978-3-540-63293-1 (9783540632931)
DOI
10.1007/978-3-540-46021-3
Schweitzer Classification
Other editions
Additional editions

David Mumford
The Red Book of Varieties and Schemes
Includes the Michigan Lectures (1974) on Curves and their Jacobians
E-Book
02/2004
2nd Edition
Springer
€69.54
Available for download
Previous edition

David Mumford
The Red Book of Varieties and Schemes
Book
05/1994
Springer
€85.59
Article exhausted; check for reprint
Persons
David Mumford was Professor of Applied Mathematics at Brown University. In 1974 he was awarded the Fields Medal at the International Congress of Mathematicians in Vancouver.
Content
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.