Splitting deformations of degenerations of complex curves :
Collection : Lecture notes in mathematics) (V. 3. Mention d'édition :1st ed. Publié par : Springer, ([S.l.] :) Détails physiques : 594 p. ; 24 cm. ISBN :3540333630; 9783540333630.
Sujet(s) :
Algebra
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Algebraic Geometry
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Calculus & mathematical analysis
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Mathematics & science
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Mathematics
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Science/Mathematics
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Geometry - Algebraic
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Mathematical analysis
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Mathematics / Geometry / Algebraic
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Mathematics / Mathematical Analysis
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Courbes algâebriques
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Curves, Algebraic
Année : 2006
| Type de document | Site actuel | Cote | Statut | Date de retour prévue | Code à barres | Réservations |
|---|---|---|---|---|---|---|
| Livre | La bibliothèque des Sciences Exactes et Naturelles | 516 TAK (Parcourir l'étagère) | Disponible | 0000000007927 |
Total des réservations: 0
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 the singular fiber. These "barking deformations" are related to deformations of surface singularities (in particular, cyclic quotient singularities) as well as the mapping class groups of Riemann surfaces (complex curves) via monodromies. Important applications, such as the classification of atomic degenerations, are also explained.
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