The G-generalized Hitchin systems and Prym varieties

DOI10.1063/1.1313770zbMath0980.37027OpenAlexW2065706817MaRDI QIDQ2738281

M. Kjiri

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1313770

zbMATH Keywords

symplectic structuresLagrangian fibrationsgeneralized Hitchin systemsrank two integrable systems of Prym varieties

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (3)

Lectures on Higgs moduli and abelianisation ⋮ Meromorphic Higgs bundles and related geometries ⋮ DONAGI–MARKMAN CUBIC FOR THE GENERALIZED HITCHIN SYSTEM

Cites Work

• Stable bundles and integrable systems
• Rank 2 integrable systems of Prym varieties
• Prym-Tjurin varieties and the Hitchin map
• Integrable systems and algebraic surfaces
• The Self-Duality Equations on a Riemann Surface
• An elementary approach to the abelianization of the Hitchin system for arbitrary reductive groups
• The Algebraic Geometry of the Kostant-Kirillov Form

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