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Stability conditions and crepant small resolutions

Yukinobu Toda
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Abstract

In this paper, we describe the spaces of stability conditions on the triangulated categories associated to three dimensional crepant small resolutions. The resulting spaces have chamber structures such that each chamber corresponds to a birational model together with a special Fourier-Mukai transform. We observe these spaces are covering spaces over certain open subsets of finite dimensional vector spaces, and determine their deck transformations.

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Yukinobu Toda. 2007-04-06. Stability conditions and crepant small resolutions. https://arxiv.org/abs/math/0512648

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