Uniformization of simply-connected ramified coverings of the sphere by rational functions

DOI10.1134/S1995080218020208zbMath1394.30026OpenAlexW2802661352MaRDI QIDQ1646294

Samyon R. Nasyrov

Publication date: 25 June 2018

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080218020208

zbMATH Keywords

rational functioncompact Riemann surfaceramified covering

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10)

Related Items (4)

Families of elliptic functions, realizing coverings of the sphere, with branch-points and poles of arbitrary multiplicities ⋮ Extremal problems in geometric function theory ⋮ Conformal modulus of the exterior of two rectilinear slits ⋮ Families of elliptic functions and uniformization of complex tori with a unique point over infinity

Cites Work

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• A proof of the Bieberbach conjecture
• Nonequivalent coverings of Riemann surfaces with a prescribed ramification type
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• Über das Hurwitzsche Problem der Bestimmung der Anzahl Riemannscher Flächen von gegebener Verzweigungsart
• Determination of the polynomial uniformizing a given compact Riemann surface
• Ramified coverings of the two-dimensional sphere and the intersection theory in spaces of meromorphic functions on algebraic curves

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