Integrable Hamiltonian System on the Jacobian of a Spectral Curve — after Beauville
نویسندگان
چکیده
Abstract. Beauville [1] 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 [7]. 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 [11, 4].
منابع مشابه
Jacobian Variety and Integrable System — after Mumford, Beauville and Vanhaecke
Abstract. Beauville [6] 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 [13]. 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...
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