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arXiv · 1608.06904

Thick Subcategories of Discrete Derived Categories

Nathan T Broomhead
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Abstract

We classify the thick subcategories of discrete derived categories. To do this we introduce certain generating sets called arc-collections which correspond to configurations of non-crossing arcs on a geometric model. We show that every thick subcategory is generated by an arc-collection, each thick subcategory is determined by the topology of the corresponding configuration, and we describe a version of mutation which acts transitively on the set of arc-collections generating a given thick subcategory.

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Nathan T Broomhead. 2016-08-24. Thick Subcategories of Discrete Derived Categories. https://arxiv.org/abs/1608.06904

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