Splitting Deformations of Degenerations of Complex Curves Towards the Classification of Atoms of Degenerations, III /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Takamura, Shigeru (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Σειρά: Lecture Notes in Mathematics, 1886
• Θέματα: Mathematics.; Algebra.; Algebraic geometry.; Functions of complex variables.; Algebraic Geometry.; Several Complex Variables and Analytic Spaces.
• Φυσική περιγραφή: XII, 594 p. 123 illus. online resource.
• ISBN: 9783540333647
• ISSN: 0075-8434 ;

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.