Stability conditions and crepant small resolutions

Details Stability conditions and crepant small resolutions Stability conditions and crepant small resolutions

2005-12-29

arxiv.org/abs/math/0512648v3

Mathematics

Algebraic Geometry

A lot of changes. Section 5 and Section 6 in the previous version are removed, and some explanations for the background are ad

Scientific paper

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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