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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| Главный автор: | |
|---|---|
| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Серии: | Lecture notes in mathematics
1811 |
| Предметы: | |
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Deformations of singularities, Jan Stevens, 2003, Berlin, Springer, 1 vol. (VI-157 p.), Lecture notes in mathematics, 3-540-00560-9 • Deformations of Singularities, Texte imprimé, 9783662178034 |
Оглавление:
- 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.