ENGLISH

Kodaira-Spencer Maps in Local Algebra

By Bernd Herzog

Book information

Publisher
Springer
Year
1994
ISBN
354058790X, 9783540587903
Open Library ID
OL15275654M
Language
english
Format
DJVU
Filesize
1 MB (1091175 bytes)
Series
Lecture Notes in Mathematics
Edition
1
Pages
198\198
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11

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.

Similar books