Home > Research > Publications & Outputs > A geometric model for the module category of a ...


Text available via DOI:

View graph of relations

A geometric model for the module category of a gentle algebra

Research output: Contribution to Journal/MagazineJournal articlepeer-review

<mark>Journal publication date</mark>31/07/2021
<mark>Journal</mark>International Mathematics Research Notices
Issue number15
Number of pages36
Pages (from-to)11357-11392
Publication StatusPublished
Early online date31/07/19
<mark>Original language</mark>English


In this article, gentle algebras are realised as tiling algebras, which are associated to partial triangulations of unpunctured surfaces with marked points on the boundary. This notion of tiling algebras generalise the notion of Jacobian algebras of triangulations of surfaces and the notion of surface algebras. We use this description to give a geometric model of the module category of any gentle algebra.