5 papers
Geometric models for endomorphism algebras of tilting modules over gentle algebras
Difan Deng, Shengfei Geng, Pin Liu
This paper investigates tilting modules over gentle algebras and their endomorphism algebras within the framework of marked surfaces and tilings introduced by Baur and Simões. Fai…
On -tilting graphs for quasi-silted algebras
Wei Dai, Changjian Fu, Shengfei Geng +1
We prove that the -tilting graph of any quasi-silted algebra is connected and has the reachable-in-face property. Our approach utilizes -reduction and wall and chamber stru…
Intersection vectors over skew-tilings
Difan Deng, Shengfei Geng, Pin Liu
We prove that under a mild condition, a multiset of tagged permissible arcs over a skew-tiling is uniquely determined by its intersection vector. As an application, it is proved th…
Functor-induced isomorphisms and -matrices
Shengfei Geng
In this paper, we explore how functor-induced isomorphisms are encoded by -matrices. We first show that the Grothendieck group isomorphism induced by a tilting module can be rea…
On denominator conjecture for cluster algebras of finite type
Changjian Fu, Shengfei Geng
We continue our investigation on denominator conjecture of Fomin and Zelevinsky for cluster algebras via geometric models initialed in \cite{FG22}. In this paper, we confirm the de…