Hyperelliptic Riemann surfaces of infinite genus and solutions of the KdV equation

DOI10.1215/S0012-7094-98-09114-1zbMath0962.35151OpenAlexW1585573965MaRDI QIDQ1974781

Robert Schrader, Werner Müller, Martin Ulrich Schmidt

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-98-09114-1

zbMATH Keywords

Riemann theta functionKdV equationSiegel upper half-spaceholomorphic square integrable \(1\)-formsinfinite-gap solutionsIts-Matveev formula

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Riemann surfaces; Weierstrass points; gap sequences (14H55)

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