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Stability conditions on curves

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arxiv 0705.3794 v1 pith:SQVR43IV submitted 2007-05-25 math.AG

Emanuele Macri This is my paper · ORCID
classification math.AG
keywords stabilityconditionscategoriescurvesprojectivesidetriangulatedbridgeland-douglas
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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.

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  1. A Real Reduction of the Manifold of Bridgeland Stability Conditions

    math.AG 2025-06 accept novelty 7.0 of 10

    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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