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

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

    Posted By: roxul
    Date: 23 Nov 2019 14:09:33
    Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III

    Shigeru Takamura, "Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III "
    English | ISBN: 3540333630 | 2006 | 594 pages | PDF | 5 MB

    Here is a deformation theory for degenerations of complex curves; specifically, discussing deformations which induce splitting of the singular fiber of a degeneration. The author constructs a deformation of the degeneration in such a way that a subdivisor is "barked," or peeled off from the singular fiber. "Barking deformations" are related to deformations of surface singularities, in particular, cyclic quotient singularities, as well as the mapping class groups of Riemann surfaces via monodromies.
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