Singularity categories of gentle algebras Martin Kalck Abstract

kalck, martin;

We determine the singularity category of an arbitrary finite-dimensional gentle algebra Λ. It is a finite product of n-cluster categories of type A1. Equivalently, it may be described as the
stable module category of a self-injective gentle algebra. If Λ is a Jacobian algebra arising from a triangulation T of an unpunctured marked Riemann surface, then the number of factors equals the number of inner triangles of T .