Branched coverings of riemann surfaces whose branch orders coincide with the multiplicity

DOI10.1080/00927879008823980zbMath0701.30042OpenAlexW2000192714MaRDI QIDQ3478685

Alexander Mednykh

Publication date: 1990

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879008823980

zbMATH Keywords

branched coveringramification type of the covering

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10)

Related Items

On the existence of branched coverings between surfaces with prescribed branch data. I ⋮ Branched covers of the sphere and the prime-degree conjecture ⋮ Enumerating branched coverings over surfaces with boundaries ⋮ Spherical conic metrics and realizability of branched covers ⋮ Number of cyclically irreducible words in the alphabet of a free group of finite rank ⋮ The Hurwitz enumeration problem of branched covers and Hodge integrals ⋮ Enumeration of subgroups in the fundamental groups of orientable circle bundles over surfaces ⋮ SOLUTION OF THE HURWITZ PROBLEM FOR LAURENT POLYNOMIALS ⋮ Surface branched covers and geometric 2-orbifolds

Cites Work

• Number of nonequivalent coverings over a nonorientable compact surface
• Nombre de représentations d'une permutation comme produit de deux cycles de longueurs données
• Über das Hurwitzsche Problem der Bestimmung der Anzahl Riemannscher Flächen von gegebener Verzweigungsart
• Riemann surface transformation groups
• On the number of subgroups in the fundamental group of a closed surface
• Unbounded Coverings of Riemann Surfaces and Extensions of Rings of Meromorphic Functions

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