Ueber Riemann'sche Flächen mit gegebenen Verzweigungspunkten
TLDR
The Riemannsche Theorie der algebraischen Funktionen as discussed by the authors is a Theorie von der graphisch uber der komplexen Zahlenebene.Abstract:
Die grundlegende Bedeutung des vorliegenden Themas fur die Riemann’sche Theorie der algebraischen Funktionen brauche ich wohl kaum hervorzuheben. Geht doch diese Theorie von der graphisch uber der komplexen Zahlenebene konstruierten Riemann’schen Flache aus, um erst sodann die Funktionen, welche durch diese Flache bestimmt sind, zu untersuchen.read more
Citations
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Journal ArticleDOI
Lifting of homeomorphisms to branched coverings of a disk
TL;DR: In this article, the authors consider a simple, possibly disconnected, d-sheeted branched covering π of a closed 2-dimensional disk D by a surface X, and find an explicit small set generating L. The generators are powers of half-twists.
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Classifying spaces for the family of virtually cyclic subgroups of braid groups
TL;DR: In this article, it was shown that the minimal dimension of a model of the classifying space of the full braid group (B_n), and of the pure braid groups (P_n) with respect to the family of virtually cyclic groups is Ω(n) for any constant > 0.
Book ChapterDOI
Computational Methods in Constructive Galois Theory
TL;DR: This lecture begins with a short survey of the known rationality criteria for Galois extensions over ℂ(t1,...,ts) or, equivalently, forGalois coverings of the projective space �’S(ℂ).
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On maximal chains in the non-crossing partition lattice
Ron M. Adin,Yuval Roichman +1 more
TL;DR: In this article, a weak order on the set of maximal chains of the non-crossing partition lattice is introduced and studied, and a $0$-Hecke algebra action is used to compute the radius of the graph on these chains.
References
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Ueber die Auflösung gewisser Gleichungen vom siebenten und achten Grade
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Ueber diejenigen algebraischen Gebilde, welche eindeutige Transformationen in sich zulassen
TL;DR: In den nachfolgenden Zeilen beschaftige ich mich namentlich mit der Aufgabe: alle irreduzibeln algebraischen Gleichungen as discussed by the authors.