Stability condition on Calabi-Yau threefold of complete intersection of quadratic and quartic hypersurfaces

Shengxuan Liu

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arXiv · 2108.08934

Stability condition on Calabi-Yau threefold of complete intersection of quadratic and quartic hypersurfaces

Shengxuan Liu

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Abstract

In this paper, we prove a Clifford type inequality for the curve $X_{2,2,2,4}$, which is the intersection of a quartic and three general quadratics in $\mathbb{P}^5$. We thus prove a stronger Bogomolov-Gieseker inequality for characters of stable vector bundles and stable objects on $X_{2,4}$. Applying the scheme proposed by Bayer, Bertram, Macrì, Stellari and Toda, we can construct an open subset of Bridgeland stability conditions on $X_{2,4}$.

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Shengxuan Liu. 2022-10-28. Stability condition on Calabi-Yau threefold of complete intersection of quadratic and quartic hypersurfaces. https://arxiv.org/abs/2108.08934

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