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A short proof of the deformation property of Bridgeland stability conditions

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arxiv 1606.02169 v3 pith:4LTVDRTW submitted 2016-06-07 math.AG

Arend Bayer This is my paper · ORCID
classification math.AG
keywords deformationpropertystabilitybridgelandconditionsproofshortcentral
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The key result in the theory of Bridgeland stability conditions is the property that they form a complex manifold. This comes from the fact that given any small deformation of the central charge, there is a unique way to correspondingly deform the stability condition. We give a short direct proof of a strong version of this deformation property.

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  1. Derived category of coherent systems on curves and stability conditions

    math.AG 2025-11 conditional novelty 8.0 of 10

    For a smooth curve C, an open locus of Bridgeland stability conditions on coherent systems is classified as gluing or tilting, with boundary governed by the Brill-Noether function.

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