On the exponential transform of multi-sheeted algebraic domains

DOI10.1007/BF03321877zbMath1246.30072arXiv1101.0799OpenAlexW2155656961MaRDI QIDQ766033

Björn Gustafsson, Vladimir G. Tkachev

Publication date: 22 March 2012

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0799

zbMATH Keywords

Klein surfaceRiemann surfacealgebraic domainquadrature domaincovering surfaceexponential transformelimination functionmeromorphic resultant

Mathematics Subject Classification ID

Klein surfaces (30F50) Compact Riemann surfaces and uniformization (30F10) Coverings of curves, fundamental group (14H30) Meromorphic functions of one complex variable (general theory) (30D30) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (6)

Analytical solutions for annular multipolar vortex equilibria on a sphere ⋮ A vector equilibrium problem for symmetrically located point charges on a sphere ⋮ Quadrature for quadrics ⋮ Livsic-type determinantal representations and hyperbolicity ⋮ Logarithmic equilibrium on the sphere in the presence of multiple point charges ⋮ How to count zeroes of polynomials on quadrature domains using the Bezout matrix

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