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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Integrability properties of Hurwitz partition functions. II. Multiplication of cut-and-join operators and WDVV equations
TL;DR: In this paper, the authors consider the Hurwitz partition functions associated with the CAA of cut-and-join operators, and show that the simplest solution of this type is associated with a subring, generated by the dilatation operators.
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Galois groups and complex multiplication
TL;DR: In this article, the authors consider the finite Galois extensions of rational functions that come from certain types of geometric situations and obtain (0.0, 0.1) I G (''_W) /F' (V)) -->G (F( IF( V))'s>tG(F/lF) 1> where: 9W is the smallest Galois extension of F(V) containing F(W), and; rest denotes the restriction of elements of the Galois group G( I)/F(V)).
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Moduli spaces of covers and the Hurwitz monodromy group.
Michael D. Fried,R. Biggers +1 more
TL;DR: The moduli space of covers of the Riemann sphere of a given Nielsen type has been studied in this paper, and it has been shown that it is irreducible.
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A journey through loop braid groups
TL;DR: In this article, a generalization of braid groups, called loop braid group, is introduced, and a complete proof of the equivalence of these definitions is given, along with an extension of these groups that appears to be a more natural generalization from the topological point of view.
Solid torus links and Hecke algebras of B-type
TL;DR: In this paper, a HOMFLY-PT type oriented link invariant for links inside a solid torus has been proposed by normalizing an Ocneanu-type linear trace function from the Hecke algebras of B-type to the complex numbers.
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.