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Deformations of Singularities: Lecture Notes in Mathematics, cartea 1811

Autor Jan Stevens
en Limba Engleză Paperback – 27 feb 2003
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.

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Specificații

ISBN-13: 9783540005605
ISBN-10: 3540005609
Pagini: 172
Ilustrații: X, 166 p.
Dimensiuni: 155 x 235 x 9 mm
Greutate: 0.25 kg
Ediția:2003
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.- Kollár's conjectures.- Cones over curves.- The versal deformation of hyperelliptic cones.- References.- Index.

Caracteristici

Includes supplementary material: sn.pub/extras