Meromorphic differentials with imaginary periods on degenerating hyperelliptic curves

DOI10.1007/s13324-014-0088-7zbMath1309.30036OpenAlexW2163029998MaRDI QIDQ2260497

Alexander Tovbis, Marco Bertola

Publication date: 10 March 2015

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-014-0088-7

zbMATH Keywords

Riemann surfacesmeromorphic differentials

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Differentials on Riemann surfaces (30F30)

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Cites Work

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• Boutroux curves with external field: equilibrium measures without a variational problem
• Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights
• Nonlinear steepest descent asymptotics for semiclassical limit of integrable systems: Continuation in the parameter space
• Method of averaging for two-dimensional integrable equations
• Theta functions on Riemann surfaces
• The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces
• A steepest descent method for oscillatory Riemann-Hilbert problems