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arXiv · 2007.00044

Stability conditions on Calabi-Yau double/triple solids

Naoki Koseki
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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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Naoki Koseki. 2020-06-30. Stability conditions on Calabi-Yau double/triple solids. https://arxiv.org/abs/2007.00044

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