24 citations · 39 across the 9 of their papers we have counts for
4 papers · 1 filter
-tilting finite gentle algebras are representation-finite
Pierre-Guy Plamondon
We show that a gentle algebra over a field is -tilting finite if and only if it is representation-finite. The proof relies on the "brick--tilting correspondence" of Demonet-I…
Unistructurality of cluster algebras from surfaces without punctures
Véronique Bazier-Matte, Pierre-Guy Plamondon
A cluster algebra is unistructural if the set of its cluster variables determines its clusters and seeds. It is conjectured that all cluster algebras are unistructural. In this pap…
Non-kissing and non-crossing complexes for locally gentle algebras
Yann Palu, Vincent Pilaud, Pierre-Guy Plamondon
Starting from a locally gentle bound quiver, we define on the one hand a simplicial complex, called the non-kissing complex. On the other hand, we construct a punctured, marked, or…
A geometric model for the derived category of gentle algebras
Sebastian Opper, Pierre-Guy Plamondon, Sibylle Schroll
In this paper we construct a geometric model for the triangulated category generated by the simple modules of any graded gentle algebra. This leads to a geometric model of their pe…