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Luis Piovan

8000 Bahia Blanca
Departamento de Matematica, Universidad Nacional del Sur


Piovan L. A.
On Rosenhain–Göpel Configurations and Integrable Systems
2011, vol. 16, no. 3-4, pp.  210-222
We give a birational morphism between two types of genus 2 Jacobians in $\mathbb{P}^{15}$. One of them is related to an Algebraic Completely Integrable System: the Geodesic Flow on $SO(4)$, metric II (so termed after Adler and van Moerbeke). The other Jacobian is related to a linear system in $|4\Theta|$ with 12 base points coming from a Göpel tetrad of 4 translates of the $\Theta$ divisor. A correspondence is given on the base spaces so that the Poisson structure of the $SO(4)$ system can be pulled back to the family of Göpel Jacobians.
Keywords: integrable systems
Citation: Piovan L. A.,  On Rosenhain–Göpel Configurations and Integrable Systems, Regular and Chaotic Dynamics, 2011, vol. 16, no. 3-4, pp. 210-222

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