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C. Voisin - Cubic fourfolds, hyper-Kähler manifolds and their degenerationsComplex analytic and differential geometry 2017


Description : There at least three families of hyper-K ̈ahler manifolds built from cubic fourfolds, the most recently discovered one being the compactified intermediate Jacobian fibrations I constructed with Laza and Sacca. In a joint work with Koll ́ar, Laza and Sacca, we provide an easy way to compute their deformation types, by proving that if the central fiber of a degeneration of hyper-Kähler manifolds has one component which is not uniruled, then after base-change the family becomes fiberwise birational to a family of smooth hyper-Kähler manifolds.
Contributeur : Fanny Bastien <>
Soumis le : jeudi 12 octobre 2017 - 14:58:44
Dernière modification le : jeudi 24 mai 2018 - 01:05:46