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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Unirationality of Hurwitz Spaces of Coverings of Degree ≤5
TL;DR: In this article, it was shown that the Hurwitz spaces are unirational when the number of covers is sufficiently large (i.e., when the cover is a fixed line bundle).
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On the equations of compact Riemann surfaces of genus 3 and the generalized Teichmüller spaces
TL;DR: In this article, the authors classified and determined the equations of compact Riemann surfaces of genus 3 and 4 with non-trivial automorphisms and investigated the analyticity, as functions of moduli, of the coefficients which appear in these equations by applying the results which were introduced in previous papers.
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The little bundles operad
Lukas Müller,Lukas Woike +1 more
TL;DR: In this article, a topological operad called the little bundles operad has been proposed, which is a groupoid-valued operad in terms of generators and relations, and it is shown that the categorical little bundles algebras are precisely braided G-crossed categories in the sense of Turaev.
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A Poset Structure on the Alternating Group Generated by 3-Cycles
Henri Muehle,Philippe Nadeau +1 more
TL;DR: In this article, the authors investigate the poset structure on the alternating group that arises when the latter is generated by 3-cycles and give several enumerative results, as well as a complete description of the Hurwitz action on maximal chains.
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Teichmüller Curves in Genus Two: Square-Tiled Surfaces and Modular Curves
TL;DR: In this article, it was shown that the parity conjecture for primitive Teichmuller curves in the moduli space of Riemann surfaces of genus 2 is true for all ε = 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
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.