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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On Abelian Branched Coverings of the Sphere
Jaeun Lee,Jong-Wook Kim +1 more
TL;DR: From this, an explicit formula is deduced for enumerating the weak equivalence classes of pseudofree spherical (ℤp×Ωq)-actions on a given surface, when p and q are distinct primes.
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Shannon information entropy, soliton clusters and Bose-Einstein condensation in log gravity
TL;DR: In this paper , a probabilistic interpretation of the configurational partition function of the logarithmic sector of critical cosmological topologically massive gravity is given, in which the Hurwitz numbers considered in previous works assume the role of probabilities in a distribution on cycles of permutations.
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Braided racks, Hurwitz actions and Nichols algebras with many cubic relations
TL;DR: In this article, the authors classify Nichols algebras of irreducible Yetter-Drinfeld modules over groups such that the underlying rack is braided and the homogeneous component of degree three of the Nichols algebra satisfies a given inequality.
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Combinatorics of tropical Hurwitz cycles
TL;DR: The tropical double Hurwitz loci defined by Bertram, Cavalieri and Markwig are connected in codimension one as mentioned in this paper, and they are numerically equivalent to a tropical version of a representation as a sum of boundary divisors.
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.