http://swrc.ontoware.org/ontology#UnrefereedArticle
Dehn Twists, Hypertwists, and Uniformization of Twined Singularities
en
Uniformization of singularity
Cyclic quotient
Group action
Multiplicative A-singularity
Monodromy
Fractional Dehn twist
Small group
Lifting and descent
Sasaki Kenjiro
Takamura Shigeru
There are two kinds of homeomorphisms of an annulus that appear as local monodromies of degenerations of Riemann surfaces: Dehn twist and Nielsen twist. In this paper, they are “in a unified way“ generalized to higher dimensions as a hypertwist, which is the monodromy of a twined singularity (a quotient of a multiplicative A-singularity). We moreover establish the uniformization theorem of this quotient, which generalizes the uniformization theorem in our previous paper.
Journal of Mathematical Sciences The University of Tokyo
25
1
35-90
2018-03-28
13405705
AA11021653
Graduate School of Mathematical Sciences, The University of Tokyo