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Compact hyper-Kähler categories

2015/10/14 by Abuaf, Roland, Menet, Grégoire
#13D09 #14A22 #53D30 #Algebraic Geometry (math.AG) #Category Theory (math.CT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1510.04229

Abstract

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.

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