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Algebraic complete integrability of an integrable system of Beauville

Jun-Muk Hwang; Yasunari Nagai — 2008

Annales de l’institut Fourier

We show that the Beauville’s integrable system on a ten dimensional moduli space of sheaves on a K3 surface constructed via a moduli space of stable sheaves on cubic threefolds is algebraically completely integrable, using O’Grady’s construction of a symplectic resolution of the moduli space of sheaves on a K3.

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