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Prime Fano threefolds and integrable systems

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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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Authors and Affiliations

  1. Institute of Mathematics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., bl.8, 1113, Sofia, Bulgaria

    Atanas Iliev

  2. Institut Fourier, UMR 5582 (UJF-CNRS), BP 74, 38402, St Martin d’Hères Cedex, France

    Laurent Manivel

Authors
  1. Atanas Iliev
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  2. Laurent Manivel
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Correspondence to Laurent Manivel.

Additional information

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

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