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These notes deal with deformation theory of complex analytic singularities and related objects. The first part treats general theory. The central notion is that of versal deformation in several variants. The theory is developed both in an abstract way and in a concrete way suitable for computations. The second part deals with more specific problems, specially on curves and surfaces. Smoothings of singularities are the main concern. Examples are spread throughout the text.
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Deformations of Singularities
April 28, 2003, Springer
Paperback
in English
- 1 edition
3540005609 9783540005605
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Book Details
First Sentence
"The definition of a deformation involves the notion of flatness, which accounts for the difficulties in explaining and understanding it."
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Lecture Notes in Mathematics
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