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24 June 2024
 
  » arxiv » 2302.00350

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The Intermediate Jacobian fibration of a cubic fourfold containing a plane and fibrations in Prym varieties
Dominique Mattei ;
Date 1 Feb 2023
AbstractWe 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.
Source arXiv, 2302.00350
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