Geodesic
Stability conditions on Calabi-Yau double/triple solids
Forum of Mathematics, Sigma, Tome 10 (2022)

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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. 
@article{10_1017_fms_2022_58,
     author = {Naoki Koseki},
     title = {Stability conditions on {Calabi-Yau} double/triple solids},
     journal = {Forum of Mathematics, Sigma},
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     year = {2022},
     doi = {10.1017/fms.2022.58},
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     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2022.58/}
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Naoki Koseki. Stability conditions on Calabi-Yau double/triple solids. Forum of Mathematics, Sigma, Tome 10 (2022). doi: 10.1017/fms.2022.58

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