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978-3-540-28419-2

Introduction to Singularities and Deformations

Publication Date: 2007

ISBN: 978-3-540-28419-2

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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. 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.


Subject: Mathematics and Statistics, Algebra, Complex space germs, Equisingularity, Local and semi-local rings, Plane curve singularities, Versal deformation, deformation theory, singularity theory