Asian Journal of Mathematics
Volume 18 (2014)
Computing the walls associated to Bridgeland stability conditions on projective surfaces
Pages: 263 – 280
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.
Bridgeland stability, moduli spaces, projective surfaces, walls
2010 Mathematics Subject Classification
Primary 14F05. Secondary 14J60, 18E30, 18E40.