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  • Author: voska89
  • Date: 11-04-2015, 00:20
11-04-2015, 00:20

Splitting Deformations of Degenerations of Complex Curves

Category: E-Books




Splitting Deformations of Degenerations of Complex Curves

Shigeru Takamura, "Splitting Deformations of Degenerations of Complex Curves"
2006 | pages: 578 | ISBN: 3540333630 | PDF | 3,7 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.
Splitting Deformations of Degenerations of Complex Curves
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