Jacobian variety and Integrable system -- after Mumford, Beauville and Vanhaecke
Inoue, Rei ; Konishi, Yukiko ; Yamazaki, Takao
arXiv, 0512033 / Harvested from arXiv
Text on arXiv
Beauville introduced an integrable Hamiltonian system whose general level set is isomorphic to the complement of the theta divisor in the Jacobian of the spectral curve. This can be regarded as a generalization of the Mumford system. In this article, we construct a variant of Beauville's system whose general level set is isomorphic to the complement of the `intersection' of the translations of the theta divisor in the Jacobian. A suitable subsystem of our system can be regarded as a generalization of the even Mumford system introduced by Vanhaecke.
Publié le : 2005-12-11
Classification:  Mathematical Physics,  Mathematics - Algebraic Geometry,  37J35,  14H70,  14H40 
@article{0512033,
     author = {Inoue, Rei and Konishi, Yukiko and Yamazaki, Takao},
     title = {Jacobian variety and Integrable system -- after Mumford, Beauville and
  Vanhaecke},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0512033}
}

Inoue, Rei; Konishi, Yukiko; Yamazaki, Takao. Jacobian variety and Integrable system -- after Mumford, Beauville and
  Vanhaecke. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0512033/