9783540283805: Introduction to Singularities And Deformations

Synopsis

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 Weierstraß 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.

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Autres éditions populaires du même titre

9783642066580: Introduction to Singularities and Deformations

Edition présentée

ISBN 10 :  3642066585 ISBN 13 :  9783642066580
Editeur : Springer, 2010
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