Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III (Lecture Notes in Mathematics, 1886, Band 1886) - Softcover

Takamura, Shigeru

 
9783540333630: Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III (Lecture Notes in Mathematics, 1886, Band 1886)
Softcover
ISBN 10: 3540333630 ISBN 13: 9783540333630
Verlag: Springer Berlin Heidelberg, 2010

Inhaltsangabe

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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Verlag
Springer Berlin Heidelberg
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
3540333630
ISBN 13 
9783540333630
Einband
Taschenbuch
Anzahl der Seiten
608
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