Panyue Zhou

activity

20142026

most citedAbelian categories arising from cluster tilting subcategories

13 citations · 72 across the 56 of their papers we have counts for

collaborators

Showing 2026Show all

4 papers · 1 filter

math.AG2026

Phantom subcategories on blow-ups of Hirzebruch surfaces

Zeyuan He, Yu-Zhe Liu, Mingzhi Sheng +1

We prove that the blow-up of the Hirzebruch surface $F_{n}$ at $n + 6$ general points admits a phantom subcategory for every $n ⩾ 3$ .

math.RT2026

Igusa--Todorov Algebras and the Auslander--Reiten Conjecture

Xiaojin Zhang, Panyue Zhou

We prove that every Igusa--Todorov Artin algebra satisfies the Auslander--Reiten conjecture. More precisely, let $V$ be an $n$ -Igusa--Todorov witness, and let $t$ be the number of…

math.RT2026

Self-Orthogonal $τ$ -Tilting Modules and Tilting Modules III: Finitistic Dimension

Xiaojin Zhang, Panyue Zhou

Let $A$ be an Artin algebra and let $T$ be a $τ$ -tilting right $A$ -module. Put $C = A / Ann_{A} (T)$ . We prove that finite little finitistic dimension of $C^{op}$ , together with…

math.RT2026

Auslander-Reiten (n+2)-angles and local finiteness

Jian He, Yu-Zhe Liu, Panyue Zhou

Let $C$ be an $(n + 2)$ -angulated category. Zhou proved that, when $n$ is odd, if the Auslander-Reiten $(n + 2)$ -angles generate the relations for the Grothendieck group of $\…

Phantom subcategories on blow-ups of Hirzebruch surfaces

Igusa--Todorov Algebras and the Auslander--Reiten Conjecture

Self-Orthogonal τ-Tilting Modules and Tilting Modules III: Finitistic Dimension

Auslander-Reiten (n+2)-angles and local finiteness

Self-Orthogonal $τ$ -Tilting Modules and Tilting Modules III: Finitistic Dimension