Deformations of Singularities
Edition: 1 edition
Publisher: Springer
Published: April 28, 2003
Language: eng
Format: Paperback
Number of pages: 157
ISBN-13: 9783540005605
Subjects: Differential & Riemannian geometry; Mathematics; Science/Mathematics; Geometry - Algebraic; Mathematical Analysis; Mathematics / Mathematical Analysis; Mathematics : Geometry - Algebraic; Singularity; deformation; quasi-cone; smoothing; versality; Probability & Statistics - General; Deformations of singularities
First sentence: The definition of a deformation involves the notion of flatness, which accounts for the difficulties in explaining and understanding it.
Description: 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.
Notes: Lecture Notes in Mathematics