The Red Book of Varieties and Schemes
Published on 1. May 1994
Book
Paperback/Softback
V, 315 pages
978-3-540-50497-9 (ISBN)
Description
"The book under review is a reprint of Mumford's famous Harvard lecture notes, widely used by the few past generations of algebraic geometers. Springer-Verlag has done the mathematical community a service by making these notes available once again.... The informal style and frequency of examples make the book an excellent text." (Mathematical Reviews)
More details
Series
Edition
1st ed. 1988. 2nd printing
Language
English
Place of publication
Heidelberg
Germany
Publishing group
Springer Berlin
Target group
College/higher education
Professional and scholarly
Research
Illustrations
13
13 s/w Abbildungen
Dimensions
Height: 24.4 cm
Width: 17 cm
Weight
480 gr
ISBN-13
978-3-540-50497-9 (9783540504979)
DOI
10.1007/978-3-662-21581-4
Schweitzer Classification
Other editions
New editions
David Mumford
The Red Book of Varieties and Schemes
Includes the Michigan Lectures (1974) on Curves and their Jacobians
Book
09/1999
2nd Edition
Springer
€74.89
Shipment within 10-15 days
Additional editions
David Mumford
The Red Book of Varieties and Schemes
E-Book
11/2013
Springer
€85.59
Available for download
Content
Varieties.- Some algebra.- Irreducible algebraic sets.- Definition of a morphism: I.- Sheaves and affine varieties.- Definition of prevarieties and morphism.- Products and the Hausdorff Axiom.- Dimension.- The fibres of a morphism.- Complete varieties.- Complex varieties.- Preschemes.- Spec (R).- The category of preschemes.- Varieties are preschemes.- Fields of definition.- Closed subpreschemes.- The functor of points of a prescheme.- Proper morphisms and finite morphisms.- Specialization.- Local Properties of Schemes.- Quasi-coherent modules.- Coherent modules.- Tangent cones.- Non-singularity and differentials.- Étale morphisms.- Uniformizing parameters.- Non-singularity and the UFD property.- Normal varieties and normalization.- Zariski's Main Theorem.- Flat and smooth morphisms.