Stability conditions on curves

Details Stability conditions on curves Stability conditions on curves

2007-05-25

arxiv.org/abs/0705.3794v1

Mathematics

Algebraic Geometry

12 pages. Part of the preprint math/0411613. To appear in: Math. Res. Lett

Scientific paper

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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