Hyper-Kaehler compactification of the intermediate Jacobian fibration of a cubic fourfold : the twisted case
arXiv:1611.06679
Abstract
The starting point of this note is our recent paper with Laza and Saccà on the construction of deformations of O'Grady's -dimensional manifolds as compactifications of intermediate Jacobian fibrations associated to cubic fourfolds. The note provides a complement to that paper consisting in the analogous construction in the twisted case, leading to isogenous but presumably not isomorphic or birational hyper-Kähler manifolds.