Kodaira-Spencer maps in local algebra /

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Bibliographic Details
Author / Creator:Herzog, Bernd, 1949-
Imprint:Berlin ; New York : Springer-Verlag, 1995.
Description:1 online resource (xvii, 176 pages) : illustrations.
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 1597
Lecture notes in mathematics (Springer-Verlag) ; 1597.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11070639
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ISBN:9783540491033
3540491031
9780387587905
038758790X
9783540587903
354058790X
Notes:Includes bibliographical references (pages 171-172) and indexes.
Restrictions unspecified
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010.
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Print version record.
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.
Other form:Print version: Herzog, Bernd, 1949- Kodaira-Spencer maps in local algebra. Berlin ; New York : Springer-Verlag, 1995 038758790X