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arXiv · 2502.12023

Thick subcategories of derived categories of gentle algebras

Callum Page
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Abstract

We study thick subcategories of derived categories of gentle algebras. Any thick subcategory of a derived category of a gentle algebra is generated by a set of string objects or a set of band objects. We show the thick subcategories generated by string objects are in bijection with sets of non-crossing paths on the geometric model of the derived category.

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Callum Page. 2025-02-17. Thick subcategories of derived categories of gentle algebras. https://arxiv.org/abs/2502.12023

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