Abstract
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.
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The first author is partially supported by grant MI1503/2005 of the Bulgarian Foundation for Scientific Research.
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Iliev, A., Manivel, L. Prime Fano threefolds and integrable systems. Math. Ann. 339, 937–955 (2007). https://doi.org/10.1007/s00208-007-0145-8
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DOI: https://doi.org/10.1007/s00208-007-0145-8