Bounded t-Structures on the Bounded Derived Category of Coherent Sheaves over a Weighted Projective Line

Abstract

We use recollement and HRS-tilt to describe bounded t-structures on the bounded derived category $\mathcal {D}^{b}(\mathbb {X})$ of coherent sheaves over a weighted projective line $\mathbb {X}$ of domestic or tubular type. We will see from our description that the combinatorics in the classification of bounded t-structures on $\mathcal {D}^{b}(\mathbb {X})$ can be reduced to that in the classification of bounded t-structures on the bounded derived categories of finite dimensional right modules over representation-finite finite dimensional hereditary algebras.