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...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2006, 2006
|
| Edition: | 1st ed. 2006 |
| Series: | Lecture Notes in Mathematics
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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