Computational approach to compact Riemann surfaces

DOI10.1088/1361-6544/30/1/138zbMath1360.14142arXiv1510.09063OpenAlexW2964209804MaRDI QIDQ2958636

Jörg Frauendiener, Christian Klein

Publication date: 3 February 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.09063

zbMATH Keywords

Riemann surfacesnumerical methodsKadomtsev-Petviashvili equation

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Special algebraic curves and curves of low genus (14H45) Relationships between algebraic curves and integrable systems (14H70) Computational aspects of algebraic curves (14Q05)

Related Items (7)

Computing period matrices and the Abel-Jacobi map of superelliptic curves ⋮ Multidomain spectral method for the Gauss hypergeometric function ⋮ Efficient computation of multidimensional theta functions ⋮ Convergence of discrete period matrices and discrete holomorphic integrals for ramified coverings of the Riemann sphere ⋮ Real soliton lattices of the Kadomtsev-Petviashvili II equation and desingularization of spectral curves: the \(\mathrm{Gr}^{\mathrm{TP}}(2, 4)\) case ⋮ Computing periods of hypersurfaces ⋮ Morphisms and period matrices

Uses Software

• Matlab
• MultRoot

Cites Work

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