Results 41 to 50 of about 356 (72)
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Determination of the polynomial uniformizing a given compact Riemann surface

Mathematical Notes, 2012
An approximate method for finding the polynomial uniformizing a given Riemann surface is proposed. The method is based on joining this surface with another surface by a smooth curve in the space of branched coverings of the Riemann sphere for which the uniformizing polynomial is known.
openaire   +3 more sources

Curvature and uniformization

, 2001
We approach the problem of uniformization of general Riemann surfaces through consideration of the curvature equation, and in particular the problem of constructing Poincaré metrics (i.e., complete metrics of constant negative curvature) by solving the ...
R. Mazzeo, Michael Taylor
semanticscholar   +1 more source

Stable parabolic Higgs bundles of rank two and singular hyperbolic metrics

Journal of Geometry and Physics
In this paper, we construct a stable parabolic Higgs bundle of rank two, which corresponds to the uniformization associated with a conformal hyperbolic metric on a compact Riemann surface $\overline{X}$ with prescribed singularities.
Yu Feng, Bin Xu
semanticscholar   +1 more source

Analytic Conformal Blocks of C2-cofinite Vertex Operator Algebras II: Convergence of Sewing and Higher Genus Pseudo-q-traces

Communications in Contemporary Mathematics
Let $\mathbb V=\bigoplus_{n\in\mathbb N}\mathbb V(n)$ be a $C_2$-cofinite vertex operator algebra. We prove the convergence of Segal's sewing of conformal blocks associated to analytic families of pointed compact Riemann surfaces and grading-restricted ...
Bin Gui, Hao Zhang
semanticscholar   +1 more source

Uniformization of Riemann surfaces revisited

Annals of Global Analysis and Geometry, 2022
Rares Stan
exaly  

Quillen connection and the uniformization of Riemann surfaces

Annali Di Matematica Pura Ed Applicata, 2022
Filippo Francesco Favale   +2 more
exaly  

An introduction to Riemann surfaces

, 2012
T. Napier, M. Ramachandran
semanticscholar   +1 more source

Uniformization of one-parametric families of complex tori

Russian Mathematics (Izvestiya VUZ. Matematika), 2017
S. Nasyrov
semanticscholar   +2 more sources

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