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Introduction to Singularities and Deformations

Introduction to Singularities and Deformations by Gert-martin Greuel
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US$ 109.00
Singularity theory is a field of intensive study in modern mathematics with fascinating relations to algebraic geometry, complex analysis, commutative algebra, representation theory, theory of Lie groups, topology, dynamical systems, and many more, and with numerous applications in the natural and technical sciences. This book presents the basic singularity theory of analytic spaces, including local deformation theory, and the theory of plane curve singularities. Plane curve singularities are a classical object of study, rich of ideas and applications, which still is in the center of current research and as such provides an ideal introduction to the general theory. Deformation theory is an important technique in many branches of contemporary algebraic geometry and complex analysis. This introductory text provides the general framework of the theory while still remaining concrete. In the first part of the book, the authors develop the relevant techniques, including the Weierstrab preparation theorem, the finite coherence theorem etc., and then treat isolated hypersurface singularities, notably the finite determinacy, classification of simple singularities and topological and analytic invariants.
Springer; February 2007
484 pages; ISBN 9783540284192
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Title: Introduction to Singularities and Deformations
Author: Gert-martin Greuel; Christoph Lossen; Eugenii Shustin
 
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