Local Moduli and Singularities (inbunden)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Serie
Lecture Notes in Mathematics (del 1310)
Antal sidor
120
Utgivningsdatum
1988-05-25
Förlag
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Dimensioner
234 x 156 x 8 mm
Vikt
200 g
ISBN
9783540192350

Local Moduli and Singularities

av Olav Arnfinn Laudal, Gerhard Pfister
Häftad,  Engelska, 1988-05-25
282
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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.
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