ENGLISH

Kodaira-Spencer Maps in Local Algebra

By Bernd Herzog (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1994
ISBN
978-3-540-58790-3, 978-3-540-49103-3
DOI
10.1007/BFb0074026
Language
english
Format
PDF
Filesize
2 MB (2451566 bytes)
Series
Lecture Notes in Mathematics 1597
Edition
1
Pages
182\194
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Algebra

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 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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