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arxiv: 1510.04229 · v3 · pith:E6HT3BHNnew · submitted 2015-10-14 · 🧮 math.AG · math.CT

Compact hyper-K\"ahler categories

classification 🧮 math.AG math.CT
keywords ahlercategorieshyper-kcategoricalcategorycompactcompactifiedconstructed
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We define and study the notion of hyper-K\"ahler 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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