Prime Fano threefolds and integrable systems

2006/06/09 by Iliev, Atanas, Manivel, Laurent · 1 citation
#14J28 #14J45 #14K30 #37J99 #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.math/0606211

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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• Lagrangian interpretation of Abel-Jacobi mappings associated to Fano threefolds

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