Local moduli and singularities / / Olav Arnfinn Laudal, Gerhard Pfister

• Autore: Laudal Olav Arnfinn
• 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
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1310