Local Moduli and Singularities - Couverture souple

Laudal, Olav Arnfinn

Couverture souple

ISBN 10 : 3540192352 ISBN 13 : 9783540192350

Editeur : Springer Berlin Heidelberg, 2008

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.

Détails de l'édition

• Éditeur: Springer Berlin Heidelberg
• Date d'édition: 2008
• Langue: anglais
• ISBN 10: 3540192352
• ISBN 13: 9783540192350
• Reliure: Broché
• Nombre de pages: 124
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne