Eigenvectors of lax matrices, spaces of hyperelliptic curves and action coordinates for moser systems
Audin, Michèle
HAL, hal-00129630 / Harvested from HAL
Text on HAL
We describe a Poisson structure on some open subset of the relative Jacobian of hyperelliptic curves and use eigenvectors of Lax matrices to derive action variables for Moser systems.
Publié le : 2000-07-05
Classification:  integrable systems,  action-angle coordinates,  Hurwitz spaces,  hyperelliptic curves,  Poisson manifolds,  Lax pairs,  geodesics on quadrics,  Moser systems,  58F07, 58F05,14H10,14P,  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 
@article{hal-00129630,
     author = {Audin, Mich\`ele},
     title = {Eigenvectors of lax matrices, spaces of hyperelliptic curves and action coordinates for moser systems},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00129630}
}

Audin, Michèle. Eigenvectors of lax matrices, spaces of hyperelliptic curves and action coordinates for moser systems. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00129630/