Compact hyper-Kähler categories

Roland Abuaf (1)

1 IHES - Institut des Hautes Études Scientifiques

We define and study the notion of hyper-Kähler category. On the theoretical side, we focus on construction techniques and deformation theory of such categories. We also study in details some examples : non-commutative Hilbert schemes of points on a K3 surface and a categorical resolution of a relative compactified Prymian constructed by Markushevich and Tikhomirov. *

Domaines: Géométrie algébrique [math.AG]; Catégories et ensembles [math.CT]

Roland Abuaf. Compact hyper-Kähler categories. 2017. ⟨hal-01502633⟩