Deformations of Singularities

• Κύριος συγγραφέας: Stevens, Jan (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Έκδοση: 1st ed. 2003.
• Σειρά: Lecture Notes in Mathematics, 1811
• Θέματα: Differential geometry.; Functions of complex variables.; Algebraic geometry.; Differential Geometry.; Several Complex Variables and Analytic Spaces.; Algebraic Geometry.
• Φυσική περιγραφή: 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.