Introduction to Singularities and Deformations (Springer Monographs in Mathematics) (Hardcover)

Introduction to Singularities and Deformations (Springer Monographs in Mathematics) By Gert-Martin Greuel, Christoph Lossen, Eugenii I. Shustin Cover Image
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This book presents the basic singularity theory of analytic spaces, including local deformation theory, and the theory of plane curve singularities. The authors develop the relevant techniques, including Weierstra preparation theorem, the finite coherence theorem etc., and then discuss isolated hypersurface and plane curve singularities, including the finite determinacy, classification of simple singularities, topological and analytic invariants, resolution. In the local deformation theory emphasis is placed on the issues of the versality, obstructions, and equisingular deformations. The book includes a thorough treatment of equisingular deformations of plane curve singularities including a proof for the smoothness of the mu-constant stratum based on deformations of the parametrization.

Product Details
ISBN: 9783540283805
ISBN-10: 3540283803
Publisher: Springer
Publication Date: November 29th, 2006
Pages: 472
Language: English
Series: Springer Monographs in Mathematics