Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III - Couverture souple

Takamura, Shigeru

 
9783540333630: Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III
Couverture souple
ISBN 10 : 3540333630 ISBN 13 : 9783540333630
Editeur : Springer Berlin Heidelberg, 2010

Synopsis

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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Éditeur
Springer Berlin Heidelberg
Date d'édition
2010
Langue
anglais
ISBN 10 
3540333630
ISBN 13 
9783540333630
Reliure
Broché
Nombre de pages
608
Coordonnées du fabricant
non disponible
Personne responsable
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Autres éditions populaires du même titre

9783540822615: Splitting Deformations of Degenerations of Complex Curves

Edition présentée

ISBN 10 :  3540822615 ISBN 13 :  9783540822615
Editeur : Springer, 2008
Couverture souple