The red book of varieties and schemes
Subtitle: with an appendix on "curves and their Jacobians"
By: David Mumford.
Edition: 2nd ed.
Series: Lecture notes in mathematics ;; 1358; Lecture notes in mathematics (Springer-Verlag) ;; 1358.
Publisher: Springer Verlag
Published: 1997
Place of publication: New York
Language: eng
Number of pages: 304
Subjects: Geometry, Algebraic
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.
Notes: Includes bibliographical references and index.