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Integrable systems from intermediate Jacobians of 5-folds

2011/10/29 by Dimitri Markushevich, Markushevich, D.
Mathematics · Physics and Astronomy · #14D07 #14H10 #14J45 #14K30 #70H06 #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1110.6528

openalex publication_date 2011/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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