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Kodaira-Spencer Maps in Local Algebra by Bernd Herzog
Kodaira-Spencer Maps in Local Algebra by Bernd Herzog
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Kodaira-Spencer Maps in Local Algebra

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Description

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 analogue 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.
Release date NZ
December 16th, 1994
Author
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Illustrations
XVIII, 182 p.
Pages
182
Dimensions
156x234x10
ISBN-13
9783540587903
Product ID
5264025

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