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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Homology of braid groups and their generalizations
TL;DR: A survey of (co)homologies of braid groups and groups connected with them is given in this article, where the authors present explicit formulations of some theorems of V. I. Arnold.
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Surfaces of general type with $p_g=q=1, K^2=8$ and bicanonical map of degree 2
TL;DR: In this paper, the minimal algebraic surfaces of general type with p_g=q=1, K^2=8 and bicanonical map of degree 2 are classified.
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A potential analogue of Schinzel's hypothesis for polynomialswith coefficients in Fq[t]
TL;DR: In this paper, it was shown that under a restriction on the characteristic of the finite field and a smoothness assumption, finitely many irreducible polynomials in one variable over the ring of constants can assume simultaneous prime values after a sufficiently large extension of the field of constants.
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The number of shortest paths in the arrangement graph
TL;DR: This paper enumerates the number of shortest paths between any two vertices in an arrangement graph by establishing a bijection between these shortest paths and a collection of ordered forests of certain bi-colored trees, via minimum factorizations of permutations corresponding to such vertice in terms of so-called arrangement transpositions.
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.