Deformations of singularities
Author(s)
Bibliographic Information
Deformations of singularities
（Lecture notes in mathematics, 1811）
Springer, c2003
Available at / 70 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||181178800563
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INTERNATIONAL CHRISTIAN UNIVERSITY LIBRARY図
V.1811410.8/L507/v.181105941243,
410.8/L507/v.181105941243 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:514.74/ST472070584018
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Note
Bibliography: p. [147]-153
Includes index
Description and Table of Contents
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.
Table of Contents
Introduction.- 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.
by "Nielsen BookData"