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Kniha Local Moduli and Singularities Olav A. Laudal

Local Moduli and Singularities

Autor: Olav A. Laudal, Gerhard Pfister
Jazyk: Angličtina
Väzba: Brožovaná
Vydavateľ: Springer, Berlin
Dostupnosť: Skladom u dodávateľa
Odosielame za 8-11 dní
25.21 €
This research monograph sets out to study the notion of a local moduli suite of algebraic objects li...

Informácie o knihe

Autor
Olav A. Laudal, Gerhard Pfister
Jazyk
Angličtina
Väzba
Kniha - Brožovaná
Stránok
120
EAN
9783540192350
ISBN
3540192352
Enbook ID
01558527
Vydavateľ
Springer, Berlin
Hmotnosť
224
Rozmery
156 x 234 x 6

Kompletný 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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