The Toda lattice, Dynkin diagrams, singularities and Abelian varieties

DOI10.1007/BF01239513zbMath0735.14031OpenAlexW1981992941MaRDI QIDQ1173792

Mark Adler, Pierre van Moerbeke

Publication date: 25 June 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143857

zbMATH Keywords

Abelian varietyDynkin diagram3-particle Toda latticesdivisor at infinity

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Abelian varieties and schemes (14K99)

Related Items

Eigenvectors of Jacobi matrices, Hessenberg varieties, Slodowy slices, and integrable systems, Quasi-periodic and periodic solutions of the Toda lattice via the hyperelliptic sigma function, Singular structure of Toda lattices and cohomology of certain compact Lie groups, Kostant-Toda lattices and the universal centralizer, Algebraic integrability: an introduction, The flow of the G2 periodic Toda lattice, From the Toda lattice to the Volterra lattice and back, Variétés de drapeaux et réseaux de Toda. (Flag manifolds and Toda lattices), Algebraic integrability and geometry of the \(\mathfrak{d}_3^{(2)}\) Toda lattice, Toda lattice, cohomology of compact Lie groups and finite Chevalley groups, Fifty years of the finite nonperiodic Toda lattice: a geometric and topological viewpoint, Integrability of Toda lattice by generalized variational symmetry approach, Calogero-Moser and Toda systems for twisted and untwisted affine Lie algebras, Calogero-Moser Lax pairs with spectral parameter for general Lie algebras

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