Deformation Theory (Record no. 110432)

000 -LEADER
fixed length control field 02604nam a22004455i 4500
001 - CONTROL NUMBER
control field 978-1-4419-1596-2
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140220084506.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 100301s2010 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781441915962
-- 978-1-4419-1596-2
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-1-4419-1596-2
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA564-609
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBMW
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT012010
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516.35
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Hartshorne, Robin.
Relator term author.
245 10 - TITLE STATEMENT
Title Deformation Theory
Medium [electronic resource] /
Statement of responsibility, etc by Robin Hartshorne.
250 ## - EDITION STATEMENT
Edition statement 1.
264 #1 -
-- New York, NY :
-- Springer New York,
-- 2010.
300 ## - PHYSICAL DESCRIPTION
Extent VIII, 236p. 19 illus.
Other physical details online resource.
336 ## -
-- text
-- txt
-- rdacontent
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-- computer
-- c
-- rdamedia
338 ## -
-- online resource
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347 ## -
-- text file
-- PDF
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490 1# - SERIES STATEMENT
Series statement Graduate Texts in Mathematics,
International Standard Serial Number 0072-5285 ;
Volume number/sequential designation 257
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note First-Order Deformations -- Higher-Order Deformations -- Formal Moduli -- Global Questions.
520 ## - SUMMARY, ETC.
Summary, etc The basic problem of deformation theory in algebraic geometry involves watching a small deformation of one member of a family of objects, such as varieties, or subschemes in a fixed space, or vector bundles on a fixed scheme. In this new book, Robin Hartshorne studies first what happens over small infinitesimal deformations, and then gradually builds up to more global situations, using methods pioneered by Kodaira and Spencer in the complex analytic case, and adapted and expanded in algebraic geometry by Grothendieck. Topics include: * deformations over the dual numbers; * smoothness and the infinitesimal lifting property; * Zariski tangent space and obstructions to deformation problems; * pro-representable functors of Schlessinger; * infinitesimal study of moduli spaces such as the Hilbert scheme, Picard scheme, moduli of curves, and moduli of stable vector bundles. The author includes numerous exercises, as well as important examples illustrating various aspects of the theory. This text is based on a graduate course taught by the author at the University of California, Berkeley.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Geometry, algebraic.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebraic Geometry.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9781441915955
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Graduate Texts in Mathematics,
-- 0072-5285 ;
Volume number/sequential designation 257
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-1-4419-1596-2
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-- ZDB-2-SMA

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