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arXiv · 2302.00350

The Intermediate Jacobian fibration of a cubic fourfold containing a plane and fibrations in Prym varieties

Dominique Mattei
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Abstract

We give a description of the intermediate Jacobian fibration attached to a general complex cubic fourfold $X$ containing a plane as a Lagrangian subfibration of a moduli space of torsion sheaves on the K3 surface associated to $X$ up to a cover. To do so, we propose a general construction of Lagrangian fibrations in Prym varieties as subfibrations of Beauville-Mukai systems over some loci of nodal curves in linear systems on K3 surfaces.

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Dominique Mattei. 2023-02-01. The Intermediate Jacobian fibration of a cubic fourfold containing a plane and fibrations in Prym varieties. https://doi.org/10.1007/s12188-024-00285-1

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