Prime Fano threefolds and integrable systems |
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| Authors: | Atanas Iliev Laurent Manivel |
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| Affiliation: | (1) Institute of Mathematics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., bl.8, 1113 Sofia, Bulgaria;(2) Institut Fourier, UMR 5582 (UJF-CNRS), BP 74, 38402 St Martin d’Hères Cedex, France |
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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. The first author is partially supported by grant MI1503/2005 of the Bulgarian Foundation for Scientific Research. |
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| Keywords: | 14J28 14J45 14K30 37J99 |
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