Deformations of Singularities

• Main Author: Stevens, Jan (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Edition: 1st ed. 2003.
• Series: Lecture Notes in Mathematics, 1811
• Subjects: Differential geometry.; Functions of complex variables.; Algebraic geometry.; Differential Geometry.; Several Complex Variables and Analytic Spaces.; Algebraic Geometry.
• Physical Description: X, 166 p. online resource.
• ISBN: 9783540364641
• ISSN: 0075-8434 ;
• DOI: 10.1007/b10723

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.