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....
Κύριος συγγραφέας: | |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2003.
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Έκδοση: | 1st ed. 2003. |
Σειρά: | Lecture Notes in Mathematics,
1811 |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.