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...
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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Ausgabe: | 1st ed. 2006. |
| Schriftenreihe: | Lecture Notes in Mathematics
1886 |
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Description d'après consultation du 26 avril 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Splitting deformations of degenerations of complex curves, towards the classification of atoms of degenerations, III, Shigeru Takamura, Berlin, Springer, 2006, 1 vol. (X-590 p.), Lecture notes in mathematics, 3-540-33363-0 • Splitting Deformations of Degenerations of Complex Curves, Texte imprimé, 9783540822615 • Splitting deformations of degenerations of complex curves, towards the classification of atoms of degenerations, III, Shigeru Takamura, Berlin, Springer, 2006, 1 vol. (X-590 p.), Lecture notes in mathematics, 3-540-33363-0 |
Inhaltsangabe:
- 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