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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Inequivalent factorizations of permutations
Gregory Berkolaiko,John Irving +1 more
TL;DR: In this article, the enumeration of equivalence classes of permutation factorizations was studied and a new correspondence between inequivalent factorizations and acyclic alternating digraphs was established, and closed form generating series for inequivalent minimal transitive factorizations of permutations having up to three cycles.
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How to Fold a Manifold
J. Scott Carter,Seiichi Kamada +1 more
TL;DR: In this paper, it was shown that every compact connected orientable manifold can be expressed as an irregular simple branched covering of the sphere with branch loci consisting of a codimension 2 subcomplex.
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From $r$-Spin Intersection Numbers to Hodge Integrals
TL;DR: In this article, the generalized Kontsevich matrix model (GKMM) with a certain given potential is the partition function of $r$-spin intersection numbers, and the Schur polynomials expansion of the Hodge partition function.
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Maps between surfaces
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On extension of coverings
Manfred Droste,Igor Rivin +1 more
TL;DR: In this article, the authors address the question of when a covering of the boundary of a surface can be extended to a cover of the surface (equivalently: when is there a branched cover with a prescribed monodromy).
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.