Splitting Deformations of Degenerat - E-book

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Splitting Deformations Of Degenerations Of Complex Curves - ENG

Towards The Classification Of Atoms Of Degenerations, Iii

Shigeru Takamura

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Sinopsis

ISBN:	9783540333647
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Geometría algebraica
Año de publicación:	2006-10-11

The author develops a deformation theoryÂ 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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