scispace - formally typeset
Open AccessJournal ArticleDOI

Ueber Riemann'sche Flächen mit gegebenen Verzweigungspunkten

Adolf Hurwitz
- 01 Mar 1891 - 
- Vol. 39, Iss: 1, pp 1-60
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

Content maybe subject to copyright    Report

Citations
More filters

In which it is proven that, for each parabolic quasi-Coxeter element in a finite real reflection group, the orbits of the Hurwitz action on its reflection factorizations are distinguished by the two obvious invariants

TL;DR: In this article , it was shown that two reflection factorizations of a parabolic quasi-Coxeter element in a finite Coxeter group belong to the same Hurwitz orbit if and only if they generate the same subgroup and have the same multiset of conjugacy classes.
Posted Content

Almost-Regular Dessins on a Sphere and Torus

TL;DR: The authors used dessins d'enfant to show that families of genus 1 regular ramification data with small changes are realizable with the exception of four families which were recently shown to be nonrealizable.
Posted Content

On the number of coverings of the sphere ramified over given points

B. S. Bychkov
- 04 Dec 2013 - 
TL;DR: It is shown that the generating function of coverings of genus $0$ satisfies some system of differential equations and is a specialization of the function from paper \cite{GJ} and, therefore, satisfies the KP-hierarchy.
References
More filters
Journal ArticleDOI

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.
Related Papers (5)