Discrete Riemann surfaces: linear discretization and its convergence

DOI10.1515/crelle-2014-0065zbMath1358.30020arXiv1210.0561OpenAlexW2963487471MaRDI QIDQ334486

Mikhail Skopenkov, Alexander Ivanovich Bobenko

Publication date: 1 November 2016

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0561

zbMATH Keywords

discrete complex analysisdiscrete Riemann-Roch theorem

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Discrete potential theory (31C20) Discrete analytic functions (30G25)

Related Items (7)

Discrete Riemann surfaces based on quadrilateral cellular decompositions ⋮ Calculating and drawing Belyi pairs ⋮ Discrete field theory: symmetries and conservation laws ⋮ Convergence of discrete period matrices and discrete holomorphic integrals for ramified coverings of the Riemann sphere ⋮ Quadratic differentials and circle patterns on complex projective tori ⋮ \(C^\infty \)-convergence of conformal mappings for conformally equivalent triangular lattices ⋮ Bounded discrete holomorphic functions on the hyperbolic plane

Uses Software

• CirclePack

Cites Work

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