Hyperelliptic \(d\)-osculating covers and elliptic solutions of the KdV hierarchy. (Revêtements hyperelliptiques \(d\)-osculateurs et solutions elliptiques de la hiérarchie KdV)

DOI10.1016/j.crma.2007.06.019zbMath1118.14036arXiv0912.0784OpenAlexW2033394997MaRDI QIDQ2381590

Armando Treibich

Publication date: 18 September 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0784

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Jacobians, Prym varieties (14H40) Relationships between algebraic curves and integrable systems (14H70) Coverings of curves, fundamental group (14H30) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (4)

Systems of polynomial equations for hyperelliptic \(d\)-osculating covers ⋮ Systems of polynomial equations defining hyperelliptic \(d\)-osculating covers ⋮ Nonlinear evolution equations and hyperelliptic covers of elliptic curves ⋮ Hyperelliptic $d$-osculating covers and rational surfaces

Cites Work

• Loop groups and equations of KdV type
• Matrix elliptic solitons
• Solutions of the KdV equation elliptic in \(t\)
• Hyperelliptic osculating covers and KdV solutions periodic in t
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