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Stability conditions on curves
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We study some examples of Bridgeland-Douglas stability conditions on triangulated categories. From one side we give a complete description of the stability manifolds for smooth projective curves of positive genus. From the other side we study stability conditions on triangulated categories generated by an exceptional collection. In the case of the projective line this leads to the connectedness and simply-connectedness of the stability manifold.
Forward citations
Cited by 2 Pith papers
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A Real Reduction of the Manifold of Bridgeland Stability Conditions
A quotient of the stability manifold by an equivalence relation is a real manifold of half dimension, and the original manifold can be reconstructed from the quotient together with the relation ≲.
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Stability conditions on the canonical line bundle of $\mathbb{P}^3$
The paper proves a Bogomolov-Gieseker type inequality for local P^3 and uses it to construct families of geometric stability conditions and boundary points of the geometric chamber.
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