Families of elliptic functions and uniformization of complex tori with a unique point over infinity

DOI10.15393/j3.art.2018.5290zbMath1428.30047OpenAlexW2911058945WikidataQ128624131 ScholiaQ128624131MaRDI QIDQ5241213

Samyon R. Nasyrov

Publication date: 30 October 2019

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa250

zbMATH Keywords

uniformizationRiemann surfacecomplex toruselliptic function

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15)

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 ⋮ A one-parametric family of conformal mappings from the half-plane onto a family of polygons ⋮ Conformal modulus of the exterior of two rectilinear slits

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• Uniformization of simply-connected ramified coverings of the sphere by rational functions
• Uniformization of one-parametric families of complex tori
• Determination of the polynomial uniformizing a given compact Riemann surface
• A new method for counting coverings over manifold with finitely generated fundamental group
• Riemann surface transformation groups
• Ramified coverings of the two-dimensional sphere and the intersection theory in spaces of meromorphic functions on algebraic curves

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