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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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Citations
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Journal ArticleDOI

Realizability of branched coverings of surfaces

TL;DR: In this article, the authors investigated the extent to which any finite collection 6D of partitions of d can be realized as the branch data of a suitable branched covering, and showed that such data can always be realized if 6D contains sufficiently many elements compared to d.
Journal ArticleDOI

The KP hierarchy, branched covers, and triangulations

TL;DR: In this article, the authors give a solution to the Plucker relations involving products of variables marking contents for a partition, and thus give a new proof of a content product solution for the KP hierarchy.
Journal ArticleDOI

Fields of definition of function fields and hurwitz families — groups as galois groups

M. Fried
TL;DR: In this article, the fields of definition of function fields and hurwitz families are defined and groups as galois groups are defined. But they are not defined in terms of functions.
Journal ArticleDOI

The Geometry of the Compactification of the Hurwitz Scheme

TL;DR: In this paper, the authors present a table of table of tables of this paper : Table of Table 1.3.1.1-3.2.0.1]
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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