Hidden Bibliographic Details
ISBN: | 9783540491033 3540491031 9780387587905 038758790X 9783540587903 354058790X
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Notes: | Includes bibliographical references (pages 171-172) and indexes. Restrictions unspecified Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. 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. http://purl.oclc.org/DLF/benchrepro0212 digitized 2010 HathiTrust Digital Library committed to preserve Print version record.
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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.
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Other form: | Print version: Herzog, Bernd, 1949- Kodaira-Spencer maps in local algebra. Berlin ; New York : Springer-Verlag, 1995 038758790X
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