Jan Stevens
Springer Berlin Heidelberg
2003e druk, 2003
9783540005605
Deformations of Singularities
Specificaties
Paperback, 166 blz.
|
Engels
Springer Berlin Heidelberg |
2003e druk, 2003
ISBN13: 9783540005605
Rubricering
Onderdeel van serie
Lecture Notes in Mathematics
Verwachte levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9783540005605
Taal:Engels
Bindwijze:paperback
Aantal pagina's:166
Uitgever:Springer Berlin Heidelberg
Druk:2003
Inhoudsopgave
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.