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"item_title" : "Splitting Deformations of Degenerations of Complex Curves",
"item_author" : [" Shigeru Takamura "],
"item_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.",
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Splitting Deformations of Degenerations of Complex Curves : Towards the Classification of Atoms of Degenerations, III
Overview
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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Details
- ISBN-13: 9783540333630
- ISBN-10: 3540333630
- Publisher: Springer
- Publish Date: July 2006
- Dimensions: 9.21 x 6.14 x 1.24 inches
- Shipping Weight: 1.86 pounds
- Page Count: 594
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