Integrable systems from intermediate Jacobians of 5-folds
classification
🧮 math.AG
keywords
cubicfoldsintermediateeasyextendingfamilyfibrationfold
read the original abstract
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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