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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: srinivasgoud
    Date: 5 Jul 2010 10:04:27
    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
    Springer | September 14, 2006 | ISBN-10: 3540333630 | 594 pages | PDF | 3.65 mb

    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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