Prime Fano threefolds and integrable systems

Research paper by Atanas Iliev, Laurent Manivel

Indexed on: 27 Jul '07Published on: 27 Jul '07Published in: Mathematische Annalen


For a general K3 surface S of genus g, with 2 ≤ g ≤ 10, we prove that the intermediate Jacobians of the family of prime Fano threefolds of genus g containing S as a hyperplane section, form generically an algebraic completely integrable Hamiltonian system.