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arXiv · 1510.04229

Compact hyper-K\"ahler categories

Roland Abuaf·Grégoire Menet
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Abstract

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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Roland Abuaf, Grégoire Menet. 2015-10-14. Compact hyper-K\"ahler categories. https://arxiv.org/abs/1510.04229

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