Shengfei Geng

activity

20182020

collaborators

5 papers

math.RT2020

On cluster categories of weighted projective lines with at most three weights

Changjian Fu, Shengfei Geng

Let $X$ be a weighted projective line and $C_{X}$ the associated cluster category. It is known that $C_{X}$ can be realized as a generali…

math.RT2019

Mutation of tilting bundles of tubular type

Shengfei Geng

Let $X$ be a weighted projective line of tubular type and $coh X$ the category of coherent sheaves on $X$ . The main purpose of this note is…

math.RT2018

On cluster-tilting graphs for hereditary categories

Changjian Fu, Shengfei Geng

Let $H$ be a connected hereditary abelian category with tilting objects. It is proved that the cluster-tilting graph associated with $H$ is always connected. As…

math.RA2018

Relative rigid objects in triangulated categories

Changjian Fu, Shengfei Geng, Pin Liu

Let $T$ be a Krull-Schmidt, Hom-finite triangulated category with suspension functor $[1]$ . Let $R$ be a basic rigid object, $Γ$ the endomorphism algebra of $R$ , and $\op…

math.RT2018

Cluster algebras arising from cluster tubes II: the Caldero-Chapoton map

Changjian Fu, Shengfei Geng, Pin Liu

We continue our investigation on cluster algebras arising from cluster tubes. Let $C$ be a cluster tube of rank $n + 1$ . For an arbitrary basic maximal rigid object $T$ of…