Download E-books Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III (Lecture Notes in Mathematics) PDF

By Shigeru Takamura

Here is a deformation thought for degenerations of advanced curves; in particular, discussing deformations which result in splitting of the singular fiber of a degeneration. the writer constructs a deformation of the degeneration in any such method subdivisor is "barked," or peeled off from the singular fiber. "Barking deformations" are relating to deformations of floor singularities, particularly, cyclic quotient singularities, in addition to the mapping category teams of Riemann surfaces through monodromies.

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