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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.

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Journal ArticleDOI

Solution of the hurwitz problem for laurent polynomials

TL;DR: In this paper, the existence problem for rational functions is investigated for a given collection of partitions of a number n to define whether there exists a rational function f of degree n for which Π is the branch datum.
Journal ArticleDOI

Branched coverings

Bojan Mohar
TL;DR: Several Hurwitz-like theorems on existence and representation of branched coverings between relative geometric cycles are derived.
Journal ArticleDOI

Generalized string equations for double Hurwitz numbers

TL;DR: In this article, the authors derived a set of intertwining relations for fermion bilinear bilinears in a two-dimensional free-fermion system from a fermionic counterpart of the cut-and-join operator and obtained a classical limit of these generalized string equations.
Posted Content

On the early history of moduli and Teichm{ü}ller spaces

TL;DR: Keen et al. as discussed by the authors survey some major contributions to Riemann's moduli space and Teichmuller space and point out several facts which seem to be unknown to many algebraic geometers and analysts working in the theory.
References
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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.
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