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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The free one-generated left distributive algebra: basics and a simplified proof of the division algorithm
Richard Laver,Sheila K. Miller +1 more
TL;DR: A survey of results on the free left distributive algebra on one generator, A, and a new simplified proof of the existence of a normal form for terms in A can be found in this article.
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On hurwitz spaces of coverings with one special fiber
TL;DR: In this article, it was shown that in both cases the corresponding Hurwitz spaces are not connected and hence are not irreducible, whereas the corresponding normalizer of the Weyl group is not connected.
Invariant graphs, tilings, and iterated monodromy groups
TL;DR: In this article, the authors constructed combinatorial models for the family of expanding Thurston maps, which includes all post-critically-finite rational maps with Julia sets given by the entire Riemann sphere.
Dissertation
The topology of loop braid groups : applications and remarkable quotients
TL;DR: In this paper, the authors define invariants d'Alexander for enchevetrements ruban and algebres de circuit, and define an invariant for tresses de tresses of symetriques.
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Enumeration of Branched Coverings of Nonorientable Surfaces With Cyclic Branch Points
TL;DR: The approach developed for the counting of unbranched coverings of nonorientable surfaces is generalized and made use of the analytical method of roots-of-unity sums.
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.