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

Published 26 Feb 2025 in math.AG | (2502.18894v2)

Abstract: This article discusses the Bridgeland stability of some sheaves on the blow-up of $\mathbb{P}^{2}$ at two general points. We have determined the destabilizing objects of the line bundles and have shown that $\mathscr{O}(E)|_{E}$ is Bridgeland stable for any $(-1)$-curve $E$ and any divisorial Bridgeland stability condition.

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