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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.

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