Some Moduli Spaces of Bridgeland’s Stability Conditions

We study some moduli spaces of Bridgeland's semi-stable objects on abelian surfaces and K3 surfaces with Picard number 1. In particular, we show that the moduli spaces are isomorphic to the moduli spaces of Gieseker semi-stable sheaves. As an application, we construct ample line bundles on the moduli spaces, and study the ample cone of the moduli spaces by using wall/chamber structure of stability conditions.