Title: Kodaira-Spencer Maps in Local Algebra (Lecture Notes in Mathematics, 1597)
Publisher: Springer
Publication Date: 1994
Language: English
ISBN 10: 354058790X
ISBN 13: 9783540587903
Binding: Soft cover
Condition: New

About this title

Synopsis

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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