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arXiv · 1606.02169

A short proof of the deformation property of Bridgeland stability conditions

Arend Bayer
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Abstract

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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Arend Bayer. 2016-06-07. A short proof of the deformation property of Bridgeland stability conditions. https://arxiv.org/abs/1606.02169

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