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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On the Monodromy Groups of Riemann Surfaces of Genus ≧1
TL;DR: In this paper, it was shown that for non-cyclic Abelian groups, the best possible is 2(2g + 1), where g is the genus of the surface for which the group is a group of automorphisms.
A note on the Hurwitz problem and cone spherical metrics
Jijian Song,Bin Jia Xu,Yu Ye +2 more
TL;DR: In this article , a branched cover from a compact Riemann surface of genus g to the Euclidean sphere P 1 with branch data Λ was shown to be a special case of the Hurwitz problem.
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Genus expansion of matrix models and $$\hbar $$ expansion of BKP hierarchy
TL;DR: In this article , the authors investigated the connection between genus expansion of matrix models and the expansion of integrable hierarchies and showed that these partition functions with inserted parameter $\hbar$, which controls the genus expansion, are solutions of the $B$-$B$KP hierarchy with good quasi-classical behavior.
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Indecomposability of branched coverings of even degree on the projective plane
TL;DR: In this paper, the branch data of branched coverings of even degree over the projective plane is characterized, which is realizable by indecomposable branch coverings.
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Hyperk\"ahler geometry of rational curves in twistor spaces.
Roger Bielawski,Naizhen Zhang +1 more
TL;DR: In this paper, the pseudo-hyperkahler geometry of higher degree rational curves in the twistor space of a hyperk\"ahler $4$-manifold was investigated.
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.