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arxiv: math/0606211 · v1 · submitted 2006-06-09 · 🧮 math.AG · math.SG

Prime Fano threefolds and integrable systems

classification 🧮 math.AG math.SG
keywords fanogenusintegrableprimethreefoldsalgebraiccompletelycontaining
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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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