Splitting deformations of degenerations of complex curves : towards the classification of atoms of degenerations III [Documento eletrónico] / edited by Shigeru Takamura.
- Berlin, Heidelberg : Springer , 2006 .
- XII, 594 p. : il..
- (Lecture Notes in Mathematics)
. 1886
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.
Clicar aqui para aceder a um recurso externo
ISBN 978-3-540-33364-7
Geometria algébrica
Equações diferenciais parciais
Funções de variáveis complexas
LCC QA564
Clicar aqui para aceder a um recurso externo
ISBN 978-3-540-33364-7
Geometria algébrica
Equações diferenciais parciais
Funções de variáveis complexas
LCC QA564
