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Local moduli and singularities

Author: Olav Arnfinn Laudal; G Pfister
Publisher: Berlin ; New York : Springer-Verlag, ©1988.
Series: Lecture notes in mathematics (Springer-Verlag), 1310.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Laudal, Olav Arnfinn.
Local moduli and singularities.
Berlin ; New York : Springer-Verlag, ©1988
(DLC) 88168068
(OCoLC)18236825
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Olav Arnfinn Laudal; G Pfister
ISBN: 9783540391531 3540391533
OCLC Number: 298626559
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (v, 116 pages).
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: Introduction --
The prorepresenting substratum of the formal moduli --
Automorphismus 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 x15+x211 --
An algorithm to compute the kernel of the Kodaira-Spencer map for an irreducible plane curve singularity --
Bibliography --
Subject Index.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1310.
Responsibility: Olav Arnfinn Laudal, Gerhard Pfister.

Abstract:

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  Read more...

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