Bridgeland Stability of Sheaves on del Pezzo Surface of Picard Rank Three

Abstract

This article discusses the Bridgeland stability of some sheaves on the blow-up of P2 at two general points. We have determined the destabilizing objects of the line bundles and have shown that O(E)|E is Bridgeland stable for any (-1)-curve E and any divisorial Bridgeland stability condition.

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