Prime Fano threefolds and integrable systems

Details Prime Fano threefolds and integrable systems Prime Fano threefolds and integrable systems

2006-06-09

arxiv.org/abs/math/0606211v1

Mathematics

Algebraic Geometry

17 pages

Scientific paper

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.

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