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

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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.

fields

math.DG 1

years

2025 1

verdicts

CONDITIONAL 1

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Nakai-Moishezon criteria and the toric Thomas-Yau conjecture

math.DG · 2025-05-12 · conditional · novelty 7.0

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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  • Nakai-Moishezon criteria and the toric Thomas-Yau conjecture math.DG · 2025-05-12 · conditional · none · ref 31 · internal anchor

    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.