The Red Book of Varieties and Schemes (Record no. 31333)

000 -LEADER
fixed length control field 02734nam a22004575i 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783662215814
-- 978-3-662-21581-4
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516.35
100 1# - MAIN ENTRY--AUTHOR NAME
Personal name Mumford, David.
245 14 - TITLE STATEMENT
Title The Red Book of Varieties and Schemes
Statement of responsibility, etc by David Mumford.
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Berlin, Heidelberg :
Name of publisher Springer Berlin Heidelberg :
-- Imprint: Springer,
Year of publication 1988.
300 ## - PHYSICAL DESCRIPTION
Number of Pages V, 315 p.
Other physical details online resource.
490 1# - SERIES STATEMENT
Series statement Lecture Notes in Mathematics,
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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.
520 ## - SUMMARY, ETC.
Summary, etc "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).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Geometry, algebraic.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Algebraic Geometry.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-662-21581-4
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type E-BOOKS
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg :
-- Imprint: Springer,
-- 1988.
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
347 ## -
-- text file
-- PDF
-- rda
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
-- 0075-8434 ;
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Accession Number Uniform Resource Identifier Koha item type
        IMSc Library EBK2039 http://dx.doi.org/10.1007/978-3-662-21581-4 E-BOOKS
The Institute of Mathematical Sciences, Chennai, India

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