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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Takamura, Shigeru (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Lecture Notes in Mathematics, 1886
Temas:
Acceso en línea:Texto Completo
Descripción
Sumario: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.
Descripción Física:XII, 594 p. 123 illus. online resource.
ISBN:9783540333647
ISSN:1617-9692 ;