3 papers
math.RT2026
Presilting sequences for 0-Auslander extriangulated categories
Iacopo Nonis
Let be a reduced -Auslander extriangulated category. Motivated by Pan--Zhu silting reduction for such categories, we introduce the notion of (signed) presilting se…
math.RT2025
-exceptional sequences for representations of quivers over local algebras
Iacopo Nonis
Let be an algebraically closed field. Let be a finite dimensional commutative local -algebra and let be a quiver with no oriented cycles. In this paper, we study (si…
math.RT2025
Mutation of -exceptional sequences for acyclic quivers over local algebras
Iacopo Nonis
Let be an algebraically closed field. Let be a local commutative finite dimensional -algebra and let be a quiver with no loops or oriented cycles. We show that mutat…