The Resource Kodaira-Spencer maps in local algebra, Bernd Herzog

Kodaira-Spencer maps in local algebra, Bernd Herzog

Label
Kodaira-Spencer maps in local algebra
Title
Kodaira-Spencer maps in local algebra
Statement of responsibility
Bernd Herzog
Creator
Subject
Genre
Language
eng
Summary
The monograph contributes to Lech's inequality - a 30-year-old problem of commutative algebra, originating in the work of Serre and Nagata, that relates the Hilbert function of the total space of an algebraic or analytic deformation germ to the Hilbert function of the parameter space. A weakened version of Lech's inequality is proved using a construction that can be considered as a local analog of the Kodaira-Spencer map known from the deformation theory of compact complex manifolds. The methods are quite elementary, and will be of interest for researchers in deformation theory, local singularities and Hilbert functions
Member of
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorDate
1949-
http://library.link/vocab/creatorName
Herzog, Bernd
Dewey number
512/.4
Illustrations
illustrations
Index
index present
LC call number
  • QA3
  • QA612.7
  • QA612.7
LC item number
  • .L28 no. 1597
  • .H48 1994
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1597
http://library.link/vocab/subjectName
  • Homotopy theory
  • Characteristic functions
  • Singularities (Mathematics)
  • Homotopie
  • Fonctions caractéristiques
  • Singularités (Mathématiques)
Label
Kodaira-Spencer maps in local algebra, Bernd Herzog
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/BFb0074026
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 171-172) and indexes
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Ring filtrations -- Basic lemmas -- Tangential flatness under base change -- Relation to flatness -- Distinguished bases -- Hilbert series -- Flatifying filtrations -- Kodaira-Spencer maps -- Inequalities related with flat couples of local rings -- On the local rings of the Hilbert scheme
Dimensions
unknown
Extent
1 online resource (xvii, 176 pages)
Form of item
online
Isbn
9783540491033
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other physical details
illustrations
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)294964364
  • (OCoLC)ocn294964364
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
Kodaira-Spencer maps in local algebra, Bernd Herzog
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/BFb0074026
Publication
Bibliography note
Includes bibliographical references (pages 171-172) and indexes
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Ring filtrations -- Basic lemmas -- Tangential flatness under base change -- Relation to flatness -- Distinguished bases -- Hilbert series -- Flatifying filtrations -- Kodaira-Spencer maps -- Inequalities related with flat couples of local rings -- On the local rings of the Hilbert scheme
Dimensions
unknown
Extent
1 online resource (xvii, 176 pages)
Form of item
online
Isbn
9783540491033
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other physical details
illustrations
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)294964364
  • (OCoLC)ocn294964364
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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