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Splitting Deformations of Degenerations of Complex Curves by Shigeru Takamura
Splitting Deformations of Degenerations of Complex Curves by Shigeru Takamura
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Splitting Deformations of Degenerations of Complex Curves

Towards the Classification of Atoms of Degenerations, III
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Description

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.
Release date Australia
July 26th, 2006
Audience
  • Professional & Vocational
Illustrations
123 Illustrations, black and white; XII, 594 p. 123 illus.
Pages
594
Dimensions
156x234x31
ISBN-13
9783540333630
Product ID
5809447

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