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Stability conditions on Calabi-Yau double/triple solids

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arxiv 2007.00044 v2 pith:B43T47AM submitted 2020-06-30 math.AG

Naoki Koseki This is my paper · ORCID
classification math.AG
keywords calabi-yauconditionsinequalitymathbbspacesstabilitystrongerthreefolds
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abstract

In this paper, we prove a stronger form of the Bogomolov-Gieseker (BG) inequality for stable sheaves on two classes of Calabi-Yau threefolds, namely, weighted hypersurfaces inside the weighted projective spaces $\mathbb{P}(1, 1, 1, 1, 2)$ and $\mathbb{P}(1, 1, 1, 1, 4)$. Using the stronger BG inequality as a main technical tool, we construct open subsets in the spaces of Bridgeland stability conditions on these Calabi-Yau threefolds.

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  1. Stability conditions on some families of Calabi-Yau threefolds via orbifolding

    math.AG 2024-12 conditional novelty 4.0 of 10

    Calabi-Yau threefolds obtained via smooth orbifolding inherit Bridgeland stability conditions from the original threefold, including the mirror quintic.

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