@article {2010,
	title = {On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system},
	journal = {Int. Math. Res. Not. (2010) 2010:279-296},
	number = {arXiv.org;0902.0953v2},
	year = {2010},
	publisher = {Oxford University Press},
	abstract = {We show that the bi-Hamiltonian structure of the rational n-particle (attractive) Calogero-Moser system can be obtained by means of a double projection from a very simple Poisson pair on the cotangent bundle of gl(n,R). The relation with the Lax formalism is also discussed.},
	doi = {10.1093/imrn/rnp130},
	url = {http://hdl.handle.net/1963/3800},
	author = {Claudio Bartocci and Gregorio Falqui and Igor Mencattini and Giovanni Ortenzi and Marco Pedroni}
}
@article {2005,
	title = {Gel\\\'fand-Zakharevich Systems and Algebraic Integrability: the Volterra Lattice Revisited},
	number = {SISSA;29/2005/FM},
	year = {2005},
	abstract = {In this paper we will discuss some features of the bi-Hamiltonian method for solving the Hamilton-Jacobi (H-J) equations by Separation of Variables, and make contact with the theory of Algebraic Complete Integrability and, specifically, with the Veselov-Novikov notion of algebro-geometric (AG) Poisson brackets.},
	doi = {10.1070/RD2005v010n04ABEH000322},
	url = {http://hdl.handle.net/1963/1689},
	author = {Gregorio Falqui and Marco Pedroni}
}
@article {2004,
	title = {A geometric approach to the separability of the Neumann-Rosochatius system},
	journal = {Differential Geom. Appl. 21 (2004) 349-360},
	number = {arXiv.org;nlin/0307021},
	year = {2004},
	abstract = {We study the separability of the Neumann-Rosochatius system on the n-dimensional sphere using the geometry of bi-Hamiltonian manifolds. Its well-known separation variables are recovered by means of a separability condition relating the Hamiltonian with a suitable (1,1) tensor field on the sphere. This also allows us to iteratively construct the integrals of motion of the system.},
	doi = {10.1016/j.difgeo.2004.07.001},
	url = {http://hdl.handle.net/1963/2541},
	author = {Claudio Bartocci and Gregorio Falqui and Marco Pedroni}
}
