Thick subcategories of derived categories of gentle algebras
Representation Theory
2025-02-18 v1
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.
Keywords
Cite
@article{arxiv.2502.12023,
title = {Thick subcategories of derived categories of gentle algebras},
author = {Callum Page},
journal= {arXiv preprint arXiv:2502.12023},
year = {2025}
}
Comments
44 pages, 20 figures