Computing the Walls Associated to Bridgeland Stability Conditions on Projective Surfaces

Details Computing the Walls Associated to Bridgeland Stability Conditions on Projective Surfaces Computing the Walls Associated to Bridgeland Stability Conditions on Projective Surfaces

2012-02-21

arxiv.org/abs/1202.4587v1

Mathematics

Algebraic Geometry

18 pages, 2 figures

Scientific paper

We derive constraints on the existence of walls for Bridgeland stability conditions for general projective surfaces. We show that in suitable planes of stability conditions the walls are bounded and derive conditions for when the number of walls is globally finite. In examples, we show how to use the explicit conditions to locate walls and sometimes to show that there are no walls at all.

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