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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA564.SPR. FCT 94894 (Browse shelf) | 1 | Available |
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TA1637.SPR. FCT 94888 Mathematical problems in image processing | R853.SPR. FCT 94889 Statistical monitoring of clinical trials | QA685.SPR. FCT 94890 Foundations of hyperbolic manifolds | QA564.SPR. FCT 94894 Splitting deformations of degenerations of complex curves | QA315.SPR. FCT 94895 Introduction to symplectic dirac operators | QA274.42.SPR. FCT 94896 Point process theory and applications | QA387.SPR. FCT 94898 Cycle spaces of flag domains |
Colocação: Online
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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