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Pseudo-periodic homeomorphisms and degeneration of Riemann surfaces. (English) Zbl 0797.30036
In this paper two theorems are announced. The first theorem gives a classification of all topological types of degenerate fibres, which can appear in a minimal degenerating family of Riemann surfaces, as the subset of the set of conjugacy classes in the mapping class group of a closed surface of genus $$g \geq 2$$; every conjugacy class of this subset has as represent a pseudoperiodic homeomorphism of negative twist. The second theorem describes a complete set of conjugacy invariants for the mapping classes of pseudoperiodic homeomorphisms of negative twist.
Reviewer: A.Duma (Hagen)

MSC:
 30F99 Riemann surfaces 32S50 Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants
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References:
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