Lecture Notes in Mathematics

Kodaira-Spencer Maps in Local Algebra

Authors: Herzog, Bernd

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About this book

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.

Table of contents (10 chapters)

Buy this book

eBook $29.99
price for USA (gross)
  • ISBN 978-3-540-49103-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.95
price for USA
  • ISBN 978-3-540-58790-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Kodaira-Spencer Maps in Local Algebra
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1597
Copyright
1994
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-49103-3
DOI
10.1007/BFb0074026
Softcover ISBN
978-3-540-58790-3
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XVIII, 182
Topics