arXiv:1606.02169 Abstract | arXiv Analytics

arXiv:1606.02169 [math.AG]Abstract References Reviews Resources

A short proof of the deformation property of Bridgeland stability conditions

Published 2016-06-07Version 1

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.

Comments: 13 pages, 10 figures

Categories: math.AG

Subjects: 14F05, 18E30

Keywords: bridgeland stability conditions, deformation property, short proof, short direct proof, central charge

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