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Splitting Deformations of Degenerations of Complex Curves Towards the Classification of Atoms of Degenerations, III /
The author develops a deformation theory for degenerations of complex curves; specifically, he treats deformations which induce splittings of the singular fiber of a degeneration. He constructs a deformation of the degeneration in such a way that a subdivisor is "barked" (peeled) off from...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2006.
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| Edición: | 1st ed. 2006. |
| Colección: | Lecture Notes in Mathematics,
1886 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Basic Notions and Ideas
- Splitting Deformations of Degenerations
- What is a barking?
- Semi-Local Barking Deformations: Ideas and Examples
- Global Barking Deformations: Ideas and Examples
- Deformations of Tubular Neighborhoods of Branches
- Deformations of Tubular Neighborhoods of Branches (Preparation)
- Construction of Deformations by Tame Subbranches
- Construction of Deformations of type Al
- Construction of Deformations by Wild Subbranches
- Subbranches of Types Al, Bl, Cl
- Construction of Deformations of Type Bl
- Construction of Deformations of Type Cl
- Recursive Construction of Deformations of Type Cl
- Types Al, Bl, and Cl Exhaust all Cases
- Construction of Deformations by Bunches of Subbranches
- Barking Deformations of Degenerations
- Construction of Barking Deformations (Stellar Case)
- Simple Crusts (Stellar Case)
- Compound barking (Stellar Case)
- Deformations of Tubular Neighborhoods of Trunks
- Construction of Barking Deformations (Constellar Case)
- Further Examples
- Singularities of Subordinate Fibers near Cores
- Singularities of Fibers around Cores
- Arrangement Functions and Singularities, I
- Arrangement Functions and Singularities, II
- Supplement
- Classification of Atoms of Genus ? 5
- Classification Theorem
- List of Weighted Crustal Sets for Singular Fibers of Genus ? 5.