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Deformations of singularities

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....

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Detalles Bibliográficos
Autor principal: Stevens, Jan
Lenguaje:eng
Publicado: Springer 2003
Materias:
Acceso en línea:https://dx.doi.org/10.1007/b10723
http://cds.cern.ch/record/1690805
Descripción
Sumario: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.