Hyper-Kaehler compactification of the intermediate Jacobian fibration of a cubic fourfold : the twisted case

Abstract

The starting point of this note is our recent paper with Laza and Saccà on the construction of deformations of O'Grady's $10$-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.

References in corpus (4)

• Mapping class group and global Torelli theorem for hyperkahler manifolds: an erratum
• Cubics, Integrable Systems, and Calabi-Yau Threefolds
• On the symplectic eightfold associated to a Pfaffian cubic fourfold
• A hyper-Kähler compactification of the Intermediate Jacobian fibration associated to a cubic fourfold

Cited by in corpus (1)

• K3 categories, one-cycles on cubic fourfolds, and the Beauville-Voisin filtration