Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III (Lecture Notes in Mathematics Book 1886) 2006th Edition by Shigeru Takamura (PDF)

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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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Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III (Lecture Notes in Mathematics Book 1886) 2006th Edition PDF Free Download
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Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III (Lecture Notes in Mathematics Book 1886) 2006th Edition 2006 PDF Free Download
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