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.
- Integrable system
- Moduli space of stable sheaves
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology