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

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arxiv 2502.18894 v2 pith:KQ33TIOE submitted 2025-02-26 math.AG

Yuki Mizuno , Tomoki Yoshida This is my paper · ORCID
classification math.AG
keywords bridgelandstabilitysheavesarticleblow-upbundlesconditioncurve
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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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  1. Nakai-Moishezon criteria and the toric Thomas-Yau conjecture

    math.DG 2025-05 conditional novelty 7.0 of 10

    For mirrors of toric weak Fano manifolds, a Lagrangian section is Hamiltonian isotopic to a special Lagrangian if and only if certain phase/slope inequalities hold, proving a toric form of Thomas-Yau.

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