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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Connectivity Properties of Factorization Posets in Generated Groups
Henri Mühle,Vivien Ripoll +1 more
TL;DR: In this paper, the authors consider three notions of connectivity and their interactions in partially ordered sets coming from reduced factorizations of an element in a generated group and propose a framework to study these connectivity properties in a uniform way.
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On classification of cyclic orientation-reversing actions of big order on closed surfaces
TL;DR: In this paper, it was shown that the topological conjugation orientation-reversing actions of a cyclic group ZN on a closed orientable surface Sg of genus g>1 have order bounded above 4g+4 and 4g−4 for g even and odd respectively.
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Polynomiality of factorizations in reflection groups
Elzbieta Polak,Dustin Ross +1 more
TL;DR: In this article, the number of ways of factoring elements in the complex reflection groups G(r,s,n) as products of reflections was studied, and a polynomial structure for factorization in G( r, s, n) was deduced.
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K\"ahler structure on Hurwitz spaces
TL;DR: In this paper, the authors introduce a generalized Weil-Petersson Kahler form on the Hurwitz space, which is the curvature form of the hermitian metric on the Deligne pairing of the relative canonical line bundle and the pull back of the anti-canonical line bundle.
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Involutions of 3-dimensional handlebodies
TL;DR: In this article, the orientation preserving involutions of the orientable 3D handlebody of any genus were studied in terms of their fixed points, and a complete classification of such involutions was given.
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.