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Item Details
| Title:
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LOCAL MODULI AND SINGULARITIES
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| By: |
Olav Arnfinn Laudal, Gerhard Pfister |
| Format: |
Paperback |
| List price:
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£22.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3540192352 |
| ISBN 13: |
9783540192350 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
25 May, 1988 |
| Edition: |
1988 ed. |
| Series: |
Lecture Notes in Mathematics No. 1310 |
| Pages: |
120 |
| Description: |
Sets out to study the notion of a local moduli suite of algebraic objects like schemes, singularities or Lie algebras. This book addresses mathematicians working on problems of moduli, in algebraic or in complex analytic geometry. |
| Synopsis: |
This research monograph sets out to study the notion of a local moduli suite of algebraic objects like e.g. schemes, singularities or Lie algebras and provides a framework for this. The basic idea is to work with the action of the kernel of the Kodaira-Spencer map, on the base space of a versal family. The main results are the existence, in a general context, of a local moduli suite in the category of algebraic spaces, and the proof that, generically, this moduli suite is the quotient of a canonical filtration of the base space of the versal family by the action of the Kodaira-Spencer kernel. Applied to the special case of quasihomogenous hypersurfaces, these ideas provide the framework for the proof of the existence of a coarse moduli scheme for plane curve singularities with fixed semigroup and minimal Tjurina number . An example shows that for arbitrary the corresponding moduli space is not, in general, a scheme. The book addresses mathematicians working on problems of moduli, in algebraic or in complex analytic geometry. It assumes a working knowledge of deformation theory. |
| Illustrations: |
biography |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |
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