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arXiv · 2502.18894

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

Yuki Mizuno·Tomoki Yoshida
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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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Yuki Mizuno, Tomoki Yoshida. 2025-02-26. Bridgeland Stability of Sheaves on del Pezzo Surface of Picard Rank Three. https://arxiv.org/abs/2502.18894

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