Name: local moduli and singularities
SKU: 3417682
Price: 1099.00 TWD
Availability: InStock
Author: laudal,pfister

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Type

Physical Book

Publisher

Springer

Author

laudal,pfister

Language

English

Pages

117

ISBN

3540192352

ISBN13

9783540192350

Synopsis "local moduli and singularities"

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.