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Local Moduli and Singularities

Name: Local Moduli and Singularities
Brand: Springer, Berlin
SKU: 9783540192350
Price: 783 CZK
Availability: InStock

Autor: Olav A. Laudal, Gerhard Pfister

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer, Berlin

Dostupnost: Skladem u dodavatele

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This research monograph sets out to study the notion of a local moduli suite of algebraic objects li...

Informace o knize

Autor

Olav A. Laudal, Gerhard Pfister

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Stránek

120

EAN

9783540192350

ISBN

3540192352

Enbook ID

01558527

Vydavatel

Springer, Berlin

Hmotnost

224

Rozměry

156 x 234 x 6

Kompletní popis

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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