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Autore: | Laudal Olav Arnfinn |
Titolo: | Local moduli and singularities / / Olav Arnfinn Laudal, Gerhard Pfister |
Pubblicazione: | Berlin, Germany : , : Springer, , [1988] |
©1988 | |
Edizione: | 1st ed. 1988. |
Descrizione fisica: | 1 online resource (VIII, 120 p.) |
Disciplina: | 516.35 |
Soggetto topico: | Moduli theory |
Persona (resp. second.): | PfisterGerhard <1947-> |
Note generali: | Bibliographic Level Mode of Issuance: Monograph |
Nota di contenuto: | The prorepresenting substratum of the formal moduli -- Automorphisms of the formal moduli -- The kodaira-spencer map and its kernel -- Applications to isolated hypersurface singularities -- Plane curve singularities with k*-action -- The generic component of the local moduli suite -- The moduli suite of x 1 5 +x 2 11 . |
Sommario/riassunto: | 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. |
Titolo autorizzato: | Local moduli and singularities |
ISBN: | 3-540-39153-3 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 996466511403316 |
Lo trovi qui: | Univ. di Salerno |
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