Stability conditions and crepant small resolutions

Toda, Yukinobu

doi:10.1090/S0002-9947-08-04509-1

Stability conditions and crepant small resolutions
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Trans. Amer. Math. Soc. 360 (2008), 6149-6178 Request permission

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 that these spaces are covering spaces over certain open subsets of finite dimensional vector spaces and determine their deck transformations.

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