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Prime Fano threefolds and integrable systems

Atanas Iliev·Laurent Manivel
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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.

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Atanas Iliev, Laurent Manivel. 2006-06-09. Prime Fano threefolds and integrable systems. https://arxiv.org/abs/math/0606211

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