English

Prime Fano threefolds and integrable systems

Algebraic Geometry 2007-05-23 v1 Symplectic Geometry

Abstract

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, form generically an algebraic completely integrable system.

Keywords

Cite

@article{arxiv.math/0606211,
  title  = {Prime Fano threefolds and integrable systems},
  author = {Atanas Iliev and Laurent Manivel},
  journal= {arXiv preprint arXiv:math/0606211},
  year   = {2007}
}

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17 pages