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Splitting Deformations of Degenerations of Complex Curves: Towards

Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III




Author: Shigeru Takamura
Type: eBook
Date Released: 2006
Format: pdf
Language: English
Page Count: 594
Isbn10 Code: 3540333630
Isbn13 Code: 9783540333630


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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نوشته شده در : یکشنبه 20 شهریور 1390  توسط : Jairo Walsh.    نظرات() .

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جمعه 24 شهریور 1396 03:42 ب.ظ
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