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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Journal ArticleDOI
The Topological Symmetric Orbifold
Songyuan Li,Jan Troost +1 more
TL;DR: In this paper, a topological orbifold conformal field theory on the symmetric product of a complex surface M was analyzed and a canonical quotient of the operator ring has structure constants given by Hurwitz numbers.
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Homology of configuration-mapping and -section spaces
Martin Palmer,Ulrike Tillmann +1 more
TL;DR: In this article, it was shown that configuration-section spaces are homologically stable (with integral coefficients) whenever the underlying manifold is connected and has non-empty boundary and the charge is "small" in a certain sense.
Local wild mapping class groups and cabled braids
TL;DR: The wild mapping class groups are fundamental groups of (universal) deformations of wild Riemann surfaces, underlying the braiding of Stokes data and generalising the usual mapping classes as mentioned in this paper .
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A uniqueness of periodic maps on surfaces
Susumu Hirose,Yasushi Kasahara +1 more
TL;DR: In this paper, it was shown that if g is greater than 30, the maximal order of periodic maps of genus g is 4g+2, up to conjugation and power.
Book ChapterDOI
Abel’s Equations
TL;DR: In this paper, the structure of the set of curves associated with real polynomials of degree n by means of the Chebyshev correspondence was studied, and it was shown that these curves can be used to obtain a polynomial with degree n.
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.