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math.AG2006★ 1 cited
Prime Fano threefolds and integrable systems
Atanas Iliev, Laurent Manivel
For a general K3 surface of genus g = 2,3,...,10, we prove that the intermediate jacobians of the family of prime Fano threefolds of genus g containing S as a hyperplane section, f…
math.AG2006★ 2 cited
Cubic hypersurfaces and integrable systems
Atanas Iliev, Laurent Manivel
We show that the family of 21-dimensional intermediate jacobians of cubic fivefolds containing a given cubic fourfold X is generically an algebraic integrable system. In the proof…