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
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Braids, their properties and generalizations
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Nichols algebras with many cubic relations
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Monotone Hurwitz numbers in genus zero
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Primitive factorizations, Jucys-Murphy elements, and matrix models
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TL;DR: Several formulas enumerating minimal primitive and possibly non-minimal primitive factorizations are presented, and interesting connections with Jucys-Murphy elements, symmetric group characters, and matrix models are described.
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On rational functions with more than three branch points
Jijian Song,Bin Xu +1 more
TL;DR: In this paper, it was shown that there exists a rational function on the Riemann sphere with branch data if and only if the branch data (m_1,\cdots,m_l\bigr) < \frac{d}{{\rm GCD}(a_1.
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.