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OverviewThese 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 deformationin 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. Full Product DetailsAuthor: Jan StevensPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 2003 ed. Volume: 1811 Dimensions: Width: 15.50cm , Height: 0.90cm , Length: 23.50cm Weight: 0.550kg ISBN: 9783540005605ISBN 10: 3540005609 Pages: 166 Publication Date: 27 February 2003 Audience: College/higher education , Professional and scholarly , Tertiary & Higher Education , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntroduction.- Deformations of singularities.- Standard bases.- Infinitesimal deformations.- Example: the fat point of multiplicity four.- Deformations of algebras.- Formal deformation theory.- Deformations of compact manifolds.- How to solve the deformation equation.- Convergence for isolated singularities.- Quotient singularities.- The projection method.- Formats.- Smoothing components of curves.- Kollar's conjectures.- Cones over curves.- The versal deformation of hyperelliptic cones.- References.- Index.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |