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Thick subcategories of derived categories of gentle algebras (2502.12023v1)

Published 17 Feb 2025 in math.RT

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.