Local Moduli and Singularities is popular PDF and ePub book, written by Olav Arnfinn Laudal in 2006-11-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Local Moduli and Singularities can be Read Online from any device for your convenience.
Local Moduli and Singularities Book PDF 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 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.
Detail Book of Local Moduli and Singularities PDF
- Author : Olav Arnfinn Laudal
- Release : 15 November 2006
- Publisher : Springer
- ISBN : 9783540391531
- Genre : Mathematics
- Total Page : 123 pages
- Language : English
- PDF File Size : 15,9 Mb
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