Overview

Singularity theory is a young, rapidly-growing topic with connections to algebraic geometry, complex analysis, commutative algebra, representations theory, Lie groups theory and topology, and many 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. It includes complete proofs.

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9783540814498

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<p>From the reviews: <p><p> This monograph is dedicated to the theory of singularities, a subject with a central role in modern mathematics. This very well written book has a unified point of view based on the theory of analytic spaces, which allows a coherent presentation of both of its main themes: the theory of singularities and deformations of singularities. The book includes many examples and exercises . This monograph can serve as a source for several special courses in singularity theory and local analytic geometry. (Vasile Brinzanescu, Mathematical Reviews, Issue 2008 b)

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