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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Non-standard automorphisms of branched coverings of a disk and a sphere
TL;DR: In this article, it was shown that if Y is a disk or a 2-sphere, then every φ is isotopic by a fiber-preserving automorphism which fixes the fiber π(A0) pointwise.
Reductive Enumeration Under Mutually
TL;DR: In this paper, the authors deal with orbit enumeration within the framework of Burnside's Lemma in a special situation when the group possesses two "mutually orthogonal" actions with respect to fixed points of its elements.
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Moduli of elliptic $K3$ surfaces: monodromy and Shimada root lattice strata.
Klaus Hulek,Michael Lönne +1 more
TL;DR: In this paper, two stratifications of the moduli space of elliptically fibred K3 surfaces are investigated: Shimada root strata and monodromy strata, defined by Bogomolov, Petrov and Tschinkel.
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Genus Expanded Cut-and-Join operators and generalized Hurwtiz numbers
TL;DR: In this article, the authors define genus expanded cut-and-join operators, which form a differential algebra, which is isomorphic to the central subalgebra of the symmetric group algebra, and obtain differential equations for the generating functions of the generalized Hurwitz numbers for the source Riemann surface with different genus.
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The complexity of riemann surfaces and the hurwitz existence problem
TL;DR: In this paper, it was shown that the complexity of a branched cover of a Riemann surface with genus g ≥ 1 is 2π(m_{text{min}}+2g-2) where m is the minimum total length of a branch datum realizable by a cover.
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.