Integrable systems from intermediate Jacobians of 5-folds

Details Integrable systems from intermediate Jacobians of 5-folds Integrable systems from intermediate Jacobians of 5-folds

2011-10-29

arxiv.org/abs/1110.6528v1

Mathematics

Algebraic Geometry

6 pages

Scientific paper

Given a cubic 4-fold $Y$, we provide an easy Hodge-theoretic proof of the
following result of Iliev--Manivel: the relative intermediate Jacobian of the
universal family of cubic 5-folds $Z$ extending $Y$ is a Lagrangian fibration.

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